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Finding the Third Proportional to 32,262 and 49,845

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Solution

The third proportional to 32,262 and 49,845 is: 77,010.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,262 : 49,845 = 49,845 : x
  2. Step 2: Convert to fraction form
    32,262/49,845 = 49,845/x
  3. Step 3: Cross multiply
    32,262x = 49,845 × 49,845
  4. Step 4: Simplify right side
    32,262x = 2,484,524,025
  5. Step 5: Solve for x
    x = 2,484,524,025/32,262
  6. Step 6: Final answer
    x = 77,010.85

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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.