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Finding the Third Proportional to 17,127 and 25,231

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Solution

The third proportional to 17,127 and 25,231 is: 37,169.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,127 : 25,231 = 25,231 : x
  2. Step 2: Convert to fraction form
    17,127/25,231 = 25,231/x
  3. Step 3: Cross multiply
    17,127x = 25,231 × 25,231
  4. Step 4: Simplify right side
    17,127x = 636,603,361
  5. Step 5: Solve for x
    x = 636,603,361/17,127
  6. Step 6: Final answer
    x = 37,169.58

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.