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Finding the Third Proportional to 15,824 and 24,711

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Solution

The third proportional to 15,824 and 24,711 is: 38,589.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,824 : 24,711 = 24,711 : x
  2. Step 2: Convert to fraction form
    15,824/24,711 = 24,711/x
  3. Step 3: Cross multiply
    15,824x = 24,711 × 24,711
  4. Step 4: Simplify right side
    15,824x = 610,633,521
  5. Step 5: Solve for x
    x = 610,633,521/15,824
  6. Step 6: Final answer
    x = 38,589.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.