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Finding the Third Proportional to 7,962 and 9,402

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Solution

The third proportional to 7,962 and 9,402 is: 11,102.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,962 : 9,402 = 9,402 : x
  2. Step 2: Convert to fraction form
    7,962/9,402 = 9,402/x
  3. Step 3: Cross multiply
    7,962x = 9,402 × 9,402
  4. Step 4: Simplify right side
    7,962x = 88,397,604
  5. Step 5: Solve for x
    x = 88,397,604/7,962
  6. Step 6: Final answer
    x = 11,102.44

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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.