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Finding the Third Proportional to 41,120.75 and 61,984.88

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Solution

The third proportional to 41,120.75 and 61,984.88 is: 93,435.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,120.75 : 61,984.88 = 61,984.88 : x
  2. Step 2: Convert to fraction form
    41,120.75/61,984.88 = 61,984.88/x
  3. Step 3: Cross multiply
    41,120.75x = 61,984.88 × 61,984.88
  4. Step 4: Simplify right side
    41,120.75x = 3,842,124,728.77
  5. Step 5: Solve for x
    x = 3,842,124,728.77/41,120.75
  6. Step 6: Final answer
    x = 93,435.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.