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Finding the Third Proportional to 31,082 and 48,216

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Solution

The third proportional to 31,082 and 48,216 is: 74,795.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,082 : 48,216 = 48,216 : x
  2. Step 2: Convert to fraction form
    31,082/48,216 = 48,216/x
  3. Step 3: Cross multiply
    31,082x = 48,216 × 48,216
  4. Step 4: Simplify right side
    31,082x = 2,324,782,656
  5. Step 5: Solve for x
    x = 2,324,782,656/31,082
  6. Step 6: Final answer
    x = 74,795.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.