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Finding the Third Proportional to 13,704.50 and 29,352.50

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Solution

The third proportional to 13,704.50 and 29,352.50 is: 62,867.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.50 : 29,352.50 = 29,352.50 : x
  2. Step 2: Convert to fraction form
    13,704.50/29,352.50 = 29,352.50/x
  3. Step 3: Cross multiply
    13,704.50x = 29,352.50 × 29,352.50
  4. Step 4: Simplify right side
    13,704.50x = 861,569,256.25
  5. Step 5: Solve for x
    x = 861,569,256.25/13,704.50
  6. Step 6: Final answer
    x = 62,867.62

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.