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Finding the Third Proportional to 42,399 and 62,302.50

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Solution

The third proportional to 42,399 and 62,302.50 is: 91,549.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,399 : 62,302.50 = 62,302.50 : x
  2. Step 2: Convert to fraction form
    42,399/62,302.50 = 62,302.50/x
  3. Step 3: Cross multiply
    42,399x = 62,302.50 × 62,302.50
  4. Step 4: Simplify right side
    42,399x = 3,881,601,506.25
  5. Step 5: Solve for x
    x = 3,881,601,506.25/42,399
  6. Step 6: Final answer
    x = 91,549.36

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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.