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Finding the Third Proportional to 17,514 and 26,210

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Solution

The third proportional to 17,514 and 26,210 is: 39,223.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,514 : 26,210 = 26,210 : x
  2. Step 2: Convert to fraction form
    17,514/26,210 = 26,210/x
  3. Step 3: Cross multiply
    17,514x = 26,210 × 26,210
  4. Step 4: Simplify right side
    17,514x = 686,964,100
  5. Step 5: Solve for x
    x = 686,964,100/17,514
  6. Step 6: Final answer
    x = 39,223.71

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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.