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Finding the Third Proportional to 15,451 and 31,996

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Solution

The third proportional to 15,451 and 31,996 is: 66,257.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,451 : 31,996 = 31,996 : x
  2. Step 2: Convert to fraction form
    15,451/31,996 = 31,996/x
  3. Step 3: Cross multiply
    15,451x = 31,996 × 31,996
  4. Step 4: Simplify right side
    15,451x = 1,023,744,016
  5. Step 5: Solve for x
    x = 1,023,744,016/15,451
  6. Step 6: Final answer
    x = 66,257.46

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.