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Finding the Third Proportional to 10,126.13 and 20,656.13

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Solution

The third proportional to 10,126.13 and 20,656.13 is: 42,136.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,126.13 : 20,656.13 = 20,656.13 : x
  2. Step 2: Convert to fraction form
    10,126.13/20,656.13 = 20,656.13/x
  3. Step 3: Cross multiply
    10,126.13x = 20,656.13 × 20,656.13
  4. Step 4: Simplify right side
    10,126.13x = 426,675,500.02
  5. Step 5: Solve for x
    x = 426,675,500.02/10,126.13
  6. Step 6: Final answer
    x = 42,136.11

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.