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Finding the Third Proportional to 6,140.97 and 9,259.87

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Solution

The third proportional to 6,140.97 and 9,259.87 is: 13,962.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.97 : 9,259.87 = 9,259.87 : x
  2. Step 2: Convert to fraction form
    6,140.97/9,259.87 = 9,259.87/x
  3. Step 3: Cross multiply
    6,140.97x = 9,259.87 × 9,259.87
  4. Step 4: Simplify right side
    6,140.97x = 85,745,122.24
  5. Step 5: Solve for x
    x = 85,745,122.24/6,140.97
  6. Step 6: Final answer
    x = 13,962.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.