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Finding the Third Proportional to 14,226 and 22,727

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Solution

The third proportional to 14,226 and 22,727 is: 36,307.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,226 : 22,727 = 22,727 : x
  2. Step 2: Convert to fraction form
    14,226/22,727 = 22,727/x
  3. Step 3: Cross multiply
    14,226x = 22,727 × 22,727
  4. Step 4: Simplify right side
    14,226x = 516,516,529
  5. Step 5: Solve for x
    x = 516,516,529/14,226
  6. Step 6: Final answer
    x = 36,307.92

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.