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Finding the Third Proportional to 32,251 and 49,814

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Solution

The third proportional to 32,251 and 49,814 is: 76,941.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,251 : 49,814 = 49,814 : x
  2. Step 2: Convert to fraction form
    32,251/49,814 = 49,814/x
  3. Step 3: Cross multiply
    32,251x = 49,814 × 49,814
  4. Step 4: Simplify right side
    32,251x = 2,481,434,596
  5. Step 5: Solve for x
    x = 2,481,434,596/32,251
  6. Step 6: Final answer
    x = 76,941.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.