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Finding the Third Proportional to 6,442 and 7,402

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Solution

The third proportional to 6,442 and 7,402 is: 8,505.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442 : 7,402 = 7,402 : x
  2. Step 2: Convert to fraction form
    6,442/7,402 = 7,402/x
  3. Step 3: Cross multiply
    6,442x = 7,402 × 7,402
  4. Step 4: Simplify right side
    6,442x = 54,789,604
  5. Step 5: Solve for x
    x = 54,789,604/6,442
  6. Step 6: Final answer
    x = 8,505.06

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.