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Finding the Third Proportional to 32,884 and 49,132

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Solution

The third proportional to 32,884 and 49,132 is: 73,408.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,884 : 49,132 = 49,132 : x
  2. Step 2: Convert to fraction form
    32,884/49,132 = 49,132/x
  3. Step 3: Cross multiply
    32,884x = 49,132 × 49,132
  4. Step 4: Simplify right side
    32,884x = 2,413,953,424
  5. Step 5: Solve for x
    x = 2,413,953,424/32,884
  6. Step 6: Final answer
    x = 73,408.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.