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Finding the Third Proportional to 5,107.50 and 10,117.13

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Solution

The third proportional to 5,107.50 and 10,117.13 is: 20,040.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.50 : 10,117.13 = 10,117.13 : x
  2. Step 2: Convert to fraction form
    5,107.50/10,117.13 = 10,117.13/x
  3. Step 3: Cross multiply
    5,107.50x = 10,117.13 × 10,117.13
  4. Step 4: Simplify right side
    5,107.50x = 102,356,218.27
  5. Step 5: Solve for x
    x = 102,356,218.27/5,107.50
  6. Step 6: Final answer
    x = 20,040.38

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.