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Finding the Third Proportional to 42,706.13 and 62,412.75

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Solution

The third proportional to 42,706.13 and 62,412.75 is: 91,212.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,706.13 : 62,412.75 = 62,412.75 : x
  2. Step 2: Convert to fraction form
    42,706.13/62,412.75 = 62,412.75/x
  3. Step 3: Cross multiply
    42,706.13x = 62,412.75 × 62,412.75
  4. Step 4: Simplify right side
    42,706.13x = 3,895,351,362.56
  5. Step 5: Solve for x
    x = 3,895,351,362.56/42,706.13
  6. Step 6: Final answer
    x = 91,212.94

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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.