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Finding the Third Proportional to 10,126.13 and 15,496.88

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Solution

The third proportional to 10,126.13 and 15,496.88 is: 23,716.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,126.13 : 15,496.88 = 15,496.88 : x
  2. Step 2: Convert to fraction form
    10,126.13/15,496.88 = 15,496.88/x
  3. Step 3: Cross multiply
    10,126.13x = 15,496.88 × 15,496.88
  4. Step 4: Simplify right side
    10,126.13x = 240,153,134.77
  5. Step 5: Solve for x
    x = 240,153,134.77/10,126.13
  6. Step 6: Final answer
    x = 23,716.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.