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Finding the Third Proportional to 16,470 and 26,217

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Solution

The third proportional to 16,470 and 26,217 is: 41,732.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,470 : 26,217 = 26,217 : x
  2. Step 2: Convert to fraction form
    16,470/26,217 = 26,217/x
  3. Step 3: Cross multiply
    16,470x = 26,217 × 26,217
  4. Step 4: Simplify right side
    16,470x = 687,331,089
  5. Step 5: Solve for x
    x = 687,331,089/16,470
  6. Step 6: Final answer
    x = 41,732.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.