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Finding the Third Proportional to 31,144 and 48,716

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Solution

The third proportional to 31,144 and 48,716 is: 76,202.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,144 : 48,716 = 48,716 : x
  2. Step 2: Convert to fraction form
    31,144/48,716 = 48,716/x
  3. Step 3: Cross multiply
    31,144x = 48,716 × 48,716
  4. Step 4: Simplify right side
    31,144x = 2,373,248,656
  5. Step 5: Solve for x
    x = 2,373,248,656/31,144
  6. Step 6: Final answer
    x = 76,202.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.