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Finding the Third Proportional to 24,914 and 42,987

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Solution

The third proportional to 24,914 and 42,987 is: 74,170.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,914 : 42,987 = 42,987 : x
  2. Step 2: Convert to fraction form
    24,914/42,987 = 42,987/x
  3. Step 3: Cross multiply
    24,914x = 42,987 × 42,987
  4. Step 4: Simplify right side
    24,914x = 1,847,882,169
  5. Step 5: Solve for x
    x = 1,847,882,169/24,914
  6. Step 6: Final answer
    x = 74,170.43

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.