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Finding the Third Proportional to 17,102.25 and 26,269.88

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Solution

The third proportional to 17,102.25 and 26,269.88 is: 40,351.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102.25 : 26,269.88 = 26,269.88 : x
  2. Step 2: Convert to fraction form
    17,102.25/26,269.88 = 26,269.88/x
  3. Step 3: Cross multiply
    17,102.25x = 26,269.88 × 26,269.88
  4. Step 4: Simplify right side
    17,102.25x = 690,106,332.52
  5. Step 5: Solve for x
    x = 690,106,332.52/17,102.25
  6. Step 6: Final answer
    x = 40,351.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.