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Finding the Third Proportional to 42,037.31 and 61,439.34

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Solution

The third proportional to 42,037.31 and 61,439.34 is: 89,796.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,037.31 : 61,439.34 = 61,439.34 : x
  2. Step 2: Convert to fraction form
    42,037.31/61,439.34 = 61,439.34/x
  3. Step 3: Cross multiply
    42,037.31x = 61,439.34 × 61,439.34
  4. Step 4: Simplify right side
    42,037.31x = 3,774,792,960.43
  5. Step 5: Solve for x
    x = 3,774,792,960.43/42,037.31
  6. Step 6: Final answer
    x = 89,796.25

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.