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Finding the Third Proportional to 10,253.25 and 15,930

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Solution

The third proportional to 10,253.25 and 15,930 is: 24,749.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,253.25 : 15,930 = 15,930 : x
  2. Step 2: Convert to fraction form
    10,253.25/15,930 = 15,930/x
  3. Step 3: Cross multiply
    10,253.25x = 15,930 × 15,930
  4. Step 4: Simplify right side
    10,253.25x = 253,764,900
  5. Step 5: Solve for x
    x = 253,764,900/10,253.25
  6. Step 6: Final answer
    x = 24,749.70

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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.