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Finding the Third Proportional to 8,002.13 and 17,101.13

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Solution

The third proportional to 8,002.13 and 17,101.13 is: 36,546.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.13 : 17,101.13 = 17,101.13 : x
  2. Step 2: Convert to fraction form
    8,002.13/17,101.13 = 17,101.13/x
  3. Step 3: Cross multiply
    8,002.13x = 17,101.13 × 17,101.13
  4. Step 4: Simplify right side
    8,002.13x = 292,448,476.27
  5. Step 5: Solve for x
    x = 292,448,476.27/8,002.13
  6. Step 6: Final answer
    x = 36,546.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.