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Finding the Third Proportional to 6,291 and 9,588.38

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Solution

The third proportional to 6,291 and 9,588.38 is: 14,614.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291 : 9,588.38 = 9,588.38 : x
  2. Step 2: Convert to fraction form
    6,291/9,588.38 = 9,588.38/x
  3. Step 3: Cross multiply
    6,291x = 9,588.38 × 9,588.38
  4. Step 4: Simplify right side
    6,291x = 91,936,935.14
  5. Step 5: Solve for x
    x = 91,936,935.14/6,291
  6. Step 6: Final answer
    x = 14,614.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.