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Finding the Third Proportional to 8,127 and 14,340.38

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Solution

The third proportional to 8,127 and 14,340.38 is: 25,304.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,127 : 14,340.38 = 14,340.38 : x
  2. Step 2: Convert to fraction form
    8,127/14,340.38 = 14,340.38/x
  3. Step 3: Cross multiply
    8,127x = 14,340.38 × 14,340.38
  4. Step 4: Simplify right side
    8,127x = 205,646,355.14
  5. Step 5: Solve for x
    x = 205,646,355.14/8,127
  6. Step 6: Final answer
    x = 25,304.09

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.