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Finding the Third Proportional to 8,378.52 and 17,972.27

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Solution

The third proportional to 8,378.52 and 17,972.27 is: 38,551.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.52 : 17,972.27 = 17,972.27 : x
  2. Step 2: Convert to fraction form
    8,378.52/17,972.27 = 17,972.27/x
  3. Step 3: Cross multiply
    8,378.52x = 17,972.27 × 17,972.27
  4. Step 4: Simplify right side
    8,378.52x = 323,002,507.21
  5. Step 5: Solve for x
    x = 323,002,507.21/8,378.52
  6. Step 6: Final answer
    x = 38,551.28

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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.