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Finding the Third Proportional to 17,115 and 25,557.75

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Solution

The third proportional to 17,115 and 25,557.75 is: 38,165.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,115 : 25,557.75 = 25,557.75 : x
  2. Step 2: Convert to fraction form
    17,115/25,557.75 = 25,557.75/x
  3. Step 3: Cross multiply
    17,115x = 25,557.75 × 25,557.75
  4. Step 4: Simplify right side
    17,115x = 653,198,585.06
  5. Step 5: Solve for x
    x = 653,198,585.06/17,115
  6. Step 6: Final answer
    x = 38,165.27

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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.