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Finding the Third Proportional to 15,864 and 20,862

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Solution

The third proportional to 15,864 and 20,862 is: 27,434.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,864 : 20,862 = 20,862 : x
  2. Step 2: Convert to fraction form
    15,864/20,862 = 20,862/x
  3. Step 3: Cross multiply
    15,864x = 20,862 × 20,862
  4. Step 4: Simplify right side
    15,864x = 435,223,044
  5. Step 5: Solve for x
    x = 435,223,044/15,864
  6. Step 6: Final answer
    x = 27,434.63

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.