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Finding the Third Proportional to 19,987 and 42,743

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Solution

The third proportional to 19,987 and 42,743 is: 91,407.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,987 : 42,743 = 42,743 : x
  2. Step 2: Convert to fraction form
    19,987/42,743 = 42,743/x
  3. Step 3: Cross multiply
    19,987x = 42,743 × 42,743
  4. Step 4: Simplify right side
    19,987x = 1,826,964,049
  5. Step 5: Solve for x
    x = 1,826,964,049/19,987
  6. Step 6: Final answer
    x = 91,407.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.