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Finding the Third Proportional to 5,337.14 and 8,658.14

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Solution

The third proportional to 5,337.14 and 8,658.14 is: 14,045.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,337.14 : 8,658.14 = 8,658.14 : x
  2. Step 2: Convert to fraction form
    5,337.14/8,658.14 = 8,658.14/x
  3. Step 3: Cross multiply
    5,337.14x = 8,658.14 × 8,658.14
  4. Step 4: Simplify right side
    5,337.14x = 74,963,399.08
  5. Step 5: Solve for x
    x = 74,963,399.08/5,337.14
  6. Step 6: Final answer
    x = 14,045.61

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.