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Finding the Third Proportional to 14,127 and 31,074

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Solution

The third proportional to 14,127 and 31,074 is: 68,350.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,127 : 31,074 = 31,074 : x
  2. Step 2: Convert to fraction form
    14,127/31,074 = 31,074/x
  3. Step 3: Cross multiply
    14,127x = 31,074 × 31,074
  4. Step 4: Simplify right side
    14,127x = 965,593,476
  5. Step 5: Solve for x
    x = 965,593,476/14,127
  6. Step 6: Final answer
    x = 68,350.92

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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.