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Finding the Third Proportional to 15,920 and 35,016

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Solution

The third proportional to 15,920 and 35,016 is: 77,017.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,920 : 35,016 = 35,016 : x
  2. Step 2: Convert to fraction form
    15,920/35,016 = 35,016/x
  3. Step 3: Cross multiply
    15,920x = 35,016 × 35,016
  4. Step 4: Simplify right side
    15,920x = 1,226,120,256
  5. Step 5: Solve for x
    x = 1,226,120,256/15,920
  6. Step 6: Final answer
    x = 77,017.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.