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Finding the Third Proportional to 17,114 and 25,557

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Solution

The third proportional to 17,114 and 25,557 is: 38,165.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,114 : 25,557 = 25,557 : x
  2. Step 2: Convert to fraction form
    17,114/25,557 = 25,557/x
  3. Step 3: Cross multiply
    17,114x = 25,557 × 25,557
  4. Step 4: Simplify right side
    17,114x = 653,160,249
  5. Step 5: Solve for x
    x = 653,160,249/17,114
  6. Step 6: Final answer
    x = 38,165.26

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Why These Related Problems?

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