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Finding the Third Proportional to 31,710 and 48,756

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Solution

The third proportional to 31,710 and 48,756 is: 74,965.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,710 : 48,756 = 48,756 : x
  2. Step 2: Convert to fraction form
    31,710/48,756 = 48,756/x
  3. Step 3: Cross multiply
    31,710x = 48,756 × 48,756
  4. Step 4: Simplify right side
    31,710x = 2,377,147,536
  5. Step 5: Solve for x
    x = 2,377,147,536/31,710
  6. Step 6: Final answer
    x = 74,965.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.