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Finding the Third Proportional to 32,990 and 48,866

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Solution

The third proportional to 32,990 and 48,866 is: 72,382.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,990 : 48,866 = 48,866 : x
  2. Step 2: Convert to fraction form
    32,990/48,866 = 48,866/x
  3. Step 3: Cross multiply
    32,990x = 48,866 × 48,866
  4. Step 4: Simplify right side
    32,990x = 2,387,885,956
  5. Step 5: Solve for x
    x = 2,387,885,956/32,990
  6. Step 6: Final answer
    x = 72,382.11

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.