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Finding the Third Proportional to 8,434.13 and 17,398.13

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Solution

The third proportional to 8,434.13 and 17,398.13 is: 35,889.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.13 : 17,398.13 = 17,398.13 : x
  2. Step 2: Convert to fraction form
    8,434.13/17,398.13 = 17,398.13/x
  3. Step 3: Cross multiply
    8,434.13x = 17,398.13 × 17,398.13
  4. Step 4: Simplify right side
    8,434.13x = 302,694,753.52
  5. Step 5: Solve for x
    x = 302,694,753.52/8,434.13
  6. Step 6: Final answer
    x = 35,889.29

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.