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Finding the Third Proportional to 6,259.78 and 7,414.03

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Solution

The third proportional to 6,259.78 and 7,414.03 is: 8,781.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,259.78 : 7,414.03 = 7,414.03 : x
  2. Step 2: Convert to fraction form
    6,259.78/7,414.03 = 7,414.03/x
  3. Step 3: Cross multiply
    6,259.78x = 7,414.03 × 7,414.03
  4. Step 4: Simplify right side
    6,259.78x = 54,967,859.38
  5. Step 5: Solve for x
    x = 54,967,859.38/6,259.78
  6. Step 6: Final answer
    x = 8,781.12

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.