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Finding the Third Proportional to 14,644.75 and 22,695.38

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Solution

The third proportional to 14,644.75 and 22,695.38 is: 35,171.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,644.75 : 22,695.38 = 22,695.38 : x
  2. Step 2: Convert to fraction form
    14,644.75/22,695.38 = 22,695.38/x
  3. Step 3: Cross multiply
    14,644.75x = 22,695.38 × 22,695.38
  4. Step 4: Simplify right side
    14,644.75x = 515,080,046.39
  5. Step 5: Solve for x
    x = 515,080,046.39/14,644.75
  6. Step 6: Final answer
    x = 35,171.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.