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Finding the Third Proportional to 7,882 and 9,034

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Solution

The third proportional to 7,882 and 9,034 is: 10,354.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882 : 9,034 = 9,034 : x
  2. Step 2: Convert to fraction form
    7,882/9,034 = 9,034/x
  3. Step 3: Cross multiply
    7,882x = 9,034 × 9,034
  4. Step 4: Simplify right side
    7,882x = 81,613,156
  5. Step 5: Solve for x
    x = 81,613,156/7,882
  6. Step 6: Final answer
    x = 10,354.37

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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.