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Finding the Third Proportional to 14,137 and 24,074

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Solution

The third proportional to 14,137 and 24,074 is: 40,995.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,137 : 24,074 = 24,074 : x
  2. Step 2: Convert to fraction form
    14,137/24,074 = 24,074/x
  3. Step 3: Cross multiply
    14,137x = 24,074 × 24,074
  4. Step 4: Simplify right side
    14,137x = 579,557,476
  5. Step 5: Solve for x
    x = 579,557,476/14,137
  6. Step 6: Final answer
    x = 40,995.79

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.