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Finding the Third Proportional to 5,206 and 10,922

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Solution

The third proportional to 5,206 and 10,922 is: 22,913.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206 : 10,922 = 10,922 : x
  2. Step 2: Convert to fraction form
    5,206/10,922 = 10,922/x
  3. Step 3: Cross multiply
    5,206x = 10,922 × 10,922
  4. Step 4: Simplify right side
    5,206x = 119,290,084
  5. Step 5: Solve for x
    x = 119,290,084/5,206
  6. Step 6: Final answer
    x = 22,913.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.