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Finding the Third Proportional to 42,535.13 and 62,829.75

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Solution

The third proportional to 42,535.13 and 62,829.75 is: 92,807.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,535.13 : 62,829.75 = 62,829.75 : x
  2. Step 2: Convert to fraction form
    42,535.13/62,829.75 = 62,829.75/x
  3. Step 3: Cross multiply
    42,535.13x = 62,829.75 × 62,829.75
  4. Step 4: Simplify right side
    42,535.13x = 3,947,577,485.06
  5. Step 5: Solve for x
    x = 3,947,577,485.06/42,535.13
  6. Step 6: Final answer
    x = 92,807.47

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.