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Finding the Third Proportional to 5,106.38 and 10,729.13

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Solution

The third proportional to 5,106.38 and 10,729.13 is: 22,543.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.38 : 10,729.13 = 10,729.13 : x
  2. Step 2: Convert to fraction form
    5,106.38/10,729.13 = 10,729.13/x
  3. Step 3: Cross multiply
    5,106.38x = 10,729.13 × 10,729.13
  4. Step 4: Simplify right side
    5,106.38x = 115,114,123.27
  5. Step 5: Solve for x
    x = 115,114,123.27/5,106.38
  6. Step 6: Final answer
    x = 22,543.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.