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Finding the Third Proportional to 35,443.13 and 48,823.88

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Solution

The third proportional to 35,443.13 and 48,823.88 is: 67,256.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,443.13 : 48,823.88 = 48,823.88 : x
  2. Step 2: Convert to fraction form
    35,443.13/48,823.88 = 48,823.88/x
  3. Step 3: Cross multiply
    35,443.13x = 48,823.88 × 48,823.88
  4. Step 4: Simplify right side
    35,443.13x = 2,383,770,770.02
  5. Step 5: Solve for x
    x = 2,383,770,770.02/35,443.13
  6. Step 6: Final answer
    x = 67,256.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.