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Finding the Third Proportional to 17,115.75 and 25,602.75

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Solution

The third proportional to 17,115.75 and 25,602.75 is: 38,298.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,115.75 : 25,602.75 = 25,602.75 : x
  2. Step 2: Convert to fraction form
    17,115.75/25,602.75 = 25,602.75/x
  3. Step 3: Cross multiply
    17,115.75x = 25,602.75 × 25,602.75
  4. Step 4: Simplify right side
    17,115.75x = 655,500,807.56
  5. Step 5: Solve for x
    x = 655,500,807.56/17,115.75
  6. Step 6: Final answer
    x = 38,298.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.