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Finding the Third Proportional to 15,962 and 32,719

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Solution

The third proportional to 15,962 and 32,719 is: 67,067.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,962 : 32,719 = 32,719 : x
  2. Step 2: Convert to fraction form
    15,962/32,719 = 32,719/x
  3. Step 3: Cross multiply
    15,962x = 32,719 × 32,719
  4. Step 4: Simplify right side
    15,962x = 1,070,532,961
  5. Step 5: Solve for x
    x = 1,070,532,961/15,962
  6. Step 6: Final answer
    x = 67,067.60

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.