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Finding the Third Proportional to 17,101.13 and 36,748.69

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Solution

The third proportional to 17,101.13 and 36,748.69 is: 78,969.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,101.13 : 36,748.69 = 36,748.69 : x
  2. Step 2: Convert to fraction form
    17,101.13/36,748.69 = 36,748.69/x
  3. Step 3: Cross multiply
    17,101.13x = 36,748.69 × 36,748.69
  4. Step 4: Simplify right side
    17,101.13x = 1,350,466,032.97
  5. Step 5: Solve for x
    x = 1,350,466,032.97/17,101.13
  6. Step 6: Final answer
    x = 78,969.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.