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Finding the Third Proportional to 32,602 and 48,884

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Solution

The third proportional to 32,602 and 48,884 is: 73,297.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,602 : 48,884 = 48,884 : x
  2. Step 2: Convert to fraction form
    32,602/48,884 = 48,884/x
  3. Step 3: Cross multiply
    32,602x = 48,884 × 48,884
  4. Step 4: Simplify right side
    32,602x = 2,389,645,456
  5. Step 5: Solve for x
    x = 2,389,645,456/32,602
  6. Step 6: Final answer
    x = 73,297.51

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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.