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Finding the Third Proportional to 4,904 and 5,624

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Solution

The third proportional to 4,904 and 5,624 is: 6,449.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,904 : 5,624 = 5,624 : x
  2. Step 2: Convert to fraction form
    4,904/5,624 = 5,624/x
  3. Step 3: Cross multiply
    4,904x = 5,624 × 5,624
  4. Step 4: Simplify right side
    4,904x = 31,629,376
  5. Step 5: Solve for x
    x = 31,629,376/4,904
  6. Step 6: Final answer
    x = 6,449.71

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.