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Finding the Third Proportional to 31,228 and 47,624

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Solution

The third proportional to 31,228 and 47,624 is: 72,628.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,228 : 47,624 = 47,624 : x
  2. Step 2: Convert to fraction form
    31,228/47,624 = 47,624/x
  3. Step 3: Cross multiply
    31,228x = 47,624 × 47,624
  4. Step 4: Simplify right side
    31,228x = 2,268,045,376
  5. Step 5: Solve for x
    x = 2,268,045,376/31,228
  6. Step 6: Final answer
    x = 72,628.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.