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Finding the Third Proportional to 23,205.75 and 50,116.88

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Solution

The third proportional to 23,205.75 and 50,116.88 is: 108,236.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,205.75 : 50,116.88 = 50,116.88 : x
  2. Step 2: Convert to fraction form
    23,205.75/50,116.88 = 50,116.88/x
  3. Step 3: Cross multiply
    23,205.75x = 50,116.88 × 50,116.88
  4. Step 4: Simplify right side
    23,205.75x = 2,511,701,159.77
  5. Step 5: Solve for x
    x = 2,511,701,159.77/23,205.75
  6. Step 6: Final answer
    x = 108,236.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.