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Finding the Third Proportional to 4,927 and 10,624

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Solution

The third proportional to 4,927 and 10,624 is: 22,908.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927 : 10,624 = 10,624 : x
  2. Step 2: Convert to fraction form
    4,927/10,624 = 10,624/x
  3. Step 3: Cross multiply
    4,927x = 10,624 × 10,624
  4. Step 4: Simplify right side
    4,927x = 112,869,376
  5. Step 5: Solve for x
    x = 112,869,376/4,927
  6. Step 6: Final answer
    x = 22,908.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.