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Finding the Third Proportional to 32,864 and 49,239

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Solution

The third proportional to 32,864 and 49,239 is: 73,773.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,864 : 49,239 = 49,239 : x
  2. Step 2: Convert to fraction form
    32,864/49,239 = 49,239/x
  3. Step 3: Cross multiply
    32,864x = 49,239 × 49,239
  4. Step 4: Simplify right side
    32,864x = 2,424,479,121
  5. Step 5: Solve for x
    x = 2,424,479,121/32,864
  6. Step 6: Final answer
    x = 73,773.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.