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Finding the Third Proportional to 5,140.13 and 7,429.22

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Solution

The third proportional to 5,140.13 and 7,429.22 is: 10,737.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.13 : 7,429.22 = 7,429.22 : x
  2. Step 2: Convert to fraction form
    5,140.13/7,429.22 = 7,429.22/x
  3. Step 3: Cross multiply
    5,140.13x = 7,429.22 × 7,429.22
  4. Step 4: Simplify right side
    5,140.13x = 55,193,291.24
  5. Step 5: Solve for x
    x = 55,193,291.24/5,140.13
  6. Step 6: Final answer
    x = 10,737.73

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.