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Finding the Third Proportional to 32,742 and 49,122

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Solution

The third proportional to 32,742 and 49,122 is: 73,696.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,742 : 49,122 = 49,122 : x
  2. Step 2: Convert to fraction form
    32,742/49,122 = 49,122/x
  3. Step 3: Cross multiply
    32,742x = 49,122 × 49,122
  4. Step 4: Simplify right side
    32,742x = 2,412,970,884
  5. Step 5: Solve for x
    x = 2,412,970,884/32,742
  6. Step 6: Final answer
    x = 73,696.50

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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.