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Finding the Third Proportional to 32,156 and 49,449

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Solution

The third proportional to 32,156 and 49,449 is: 76,041.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,156 : 49,449 = 49,449 : x
  2. Step 2: Convert to fraction form
    32,156/49,449 = 49,449/x
  3. Step 3: Cross multiply
    32,156x = 49,449 × 49,449
  4. Step 4: Simplify right side
    32,156x = 2,445,203,601
  5. Step 5: Solve for x
    x = 2,445,203,601/32,156
  6. Step 6: Final answer
    x = 76,041.91

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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.