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Finding the Third Proportional to 32,082 and 48,042

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Solution

The third proportional to 32,082 and 48,042 is: 71,941.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,082 : 48,042 = 48,042 : x
  2. Step 2: Convert to fraction form
    32,082/48,042 = 48,042/x
  3. Step 3: Cross multiply
    32,082x = 48,042 × 48,042
  4. Step 4: Simplify right side
    32,082x = 2,308,033,764
  5. Step 5: Solve for x
    x = 2,308,033,764/32,082
  6. Step 6: Final answer
    x = 71,941.70

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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.