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Finding the Third Proportional to 42,395 and 62,359.50

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Solution

The third proportional to 42,395 and 62,359.50 is: 91,725.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,395 : 62,359.50 = 62,359.50 : x
  2. Step 2: Convert to fraction form
    42,395/62,359.50 = 62,359.50/x
  3. Step 3: Cross multiply
    42,395x = 62,359.50 × 62,359.50
  4. Step 4: Simplify right side
    42,395x = 3,888,707,240.25
  5. Step 5: Solve for x
    x = 3,888,707,240.25/42,395
  6. Step 6: Final answer
    x = 91,725.61

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.