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Finding the Third Proportional to 16,132.50 and 23,669.72

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Solution

The third proportional to 16,132.50 and 23,669.72 is: 34,728.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,132.50 : 23,669.72 = 23,669.72 : x
  2. Step 2: Convert to fraction form
    16,132.50/23,669.72 = 23,669.72/x
  3. Step 3: Cross multiply
    16,132.50x = 23,669.72 × 23,669.72
  4. Step 4: Simplify right side
    16,132.50x = 560,255,585.70
  5. Step 5: Solve for x
    x = 560,255,585.70/16,132.50
  6. Step 6: Final answer
    x = 34,728.38

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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.