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Finding the Third Proportional to 13,732 and 29,982.50

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Solution

The third proportional to 13,732 and 29,982.50 is: 65,463.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,732 : 29,982.50 = 29,982.50 : x
  2. Step 2: Convert to fraction form
    13,732/29,982.50 = 29,982.50/x
  3. Step 3: Cross multiply
    13,732x = 29,982.50 × 29,982.50
  4. Step 4: Simplify right side
    13,732x = 898,950,306.25
  5. Step 5: Solve for x
    x = 898,950,306.25/13,732
  6. Step 6: Final answer
    x = 65,463.90

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.