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Finding the Third Proportional to 10,654.50 and 16,542.75

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Solution

The third proportional to 10,654.50 and 16,542.75 is: 25,685.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.50 : 16,542.75 = 16,542.75 : x
  2. Step 2: Convert to fraction form
    10,654.50/16,542.75 = 16,542.75/x
  3. Step 3: Cross multiply
    10,654.50x = 16,542.75 × 16,542.75
  4. Step 4: Simplify right side
    10,654.50x = 273,662,577.56
  5. Step 5: Solve for x
    x = 273,662,577.56/10,654.50
  6. Step 6: Final answer
    x = 25,685.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.