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Finding the Third Proportional to 17,123 and 25,569

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Solution

The third proportional to 17,123 and 25,569 is: 38,181.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,123 : 25,569 = 25,569 : x
  2. Step 2: Convert to fraction form
    17,123/25,569 = 25,569/x
  3. Step 3: Cross multiply
    17,123x = 25,569 × 25,569
  4. Step 4: Simplify right side
    17,123x = 653,773,761
  5. Step 5: Solve for x
    x = 653,773,761/17,123
  6. Step 6: Final answer
    x = 38,181.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.