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Finding the Third Proportional to 32,387 and 49,253

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Solution

The third proportional to 32,387 and 49,253 is: 74,902.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,387 : 49,253 = 49,253 : x
  2. Step 2: Convert to fraction form
    32,387/49,253 = 49,253/x
  3. Step 3: Cross multiply
    32,387x = 49,253 × 49,253
  4. Step 4: Simplify right side
    32,387x = 2,425,858,009
  5. Step 5: Solve for x
    x = 2,425,858,009/32,387
  6. Step 6: Final answer
    x = 74,902.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.