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Finding the Third Proportional to 8,127 and 17,732.25

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Solution

The third proportional to 8,127 and 17,732.25 is: 38,689.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,127 : 17,732.25 = 17,732.25 : x
  2. Step 2: Convert to fraction form
    8,127/17,732.25 = 17,732.25/x
  3. Step 3: Cross multiply
    8,127x = 17,732.25 × 17,732.25
  4. Step 4: Simplify right side
    8,127x = 314,432,690.06
  5. Step 5: Solve for x
    x = 314,432,690.06/8,127
  6. Step 6: Final answer
    x = 38,689.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.