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Finding the Third Proportional to 5,177.04 and 7,344.11

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Solution

The third proportional to 5,177.04 and 7,344.11 is: 10,418.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177.04 : 7,344.11 = 7,344.11 : x
  2. Step 2: Convert to fraction form
    5,177.04/7,344.11 = 7,344.11/x
  3. Step 3: Cross multiply
    5,177.04x = 7,344.11 × 7,344.11
  4. Step 4: Simplify right side
    5,177.04x = 53,935,885.14
  5. Step 5: Solve for x
    x = 53,935,885.14/5,177.04
  6. Step 6: Final answer
    x = 10,418.29

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.