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Finding the Third Proportional to 20,870 and 45,016

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Solution

The third proportional to 20,870 and 45,016 is: 97,098.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,870 : 45,016 = 45,016 : x
  2. Step 2: Convert to fraction form
    20,870/45,016 = 45,016/x
  3. Step 3: Cross multiply
    20,870x = 45,016 × 45,016
  4. Step 4: Simplify right side
    20,870x = 2,026,440,256
  5. Step 5: Solve for x
    x = 2,026,440,256/20,870
  6. Step 6: Final answer
    x = 97,098.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.