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Finding the Third Proportional to 32,249 and 49,832

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Solution

The third proportional to 32,249 and 49,832 is: 77,001.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,249 : 49,832 = 49,832 : x
  2. Step 2: Convert to fraction form
    32,249/49,832 = 49,832/x
  3. Step 3: Cross multiply
    32,249x = 49,832 × 49,832
  4. Step 4: Simplify right side
    32,249x = 2,483,228,224
  5. Step 5: Solve for x
    x = 2,483,228,224/32,249
  6. Step 6: Final answer
    x = 77,001.71

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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.