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Finding the Third Proportional to 5,148 and 10,422

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Solution

The third proportional to 5,148 and 10,422 is: 21,099.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148 : 10,422 = 10,422 : x
  2. Step 2: Convert to fraction form
    5,148/10,422 = 10,422/x
  3. Step 3: Cross multiply
    5,148x = 10,422 × 10,422
  4. Step 4: Simplify right side
    5,148x = 108,618,084
  5. Step 5: Solve for x
    x = 108,618,084/5,148
  6. Step 6: Final answer
    x = 21,099.08

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.