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Finding the Third Proportional to 8,429 and 9,334

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Solution

The third proportional to 8,429 and 9,334 is: 10,336.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429 : 9,334 = 9,334 : x
  2. Step 2: Convert to fraction form
    8,429/9,334 = 9,334/x
  3. Step 3: Cross multiply
    8,429x = 9,334 × 9,334
  4. Step 4: Simplify right side
    8,429x = 87,123,556
  5. Step 5: Solve for x
    x = 87,123,556/8,429
  6. Step 6: Final answer
    x = 10,336.17

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.