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Finding the Third Proportional to 22,922 and 48,556

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Solution

The third proportional to 22,922 and 48,556 is: 102,856.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,922 : 48,556 = 48,556 : x
  2. Step 2: Convert to fraction form
    22,922/48,556 = 48,556/x
  3. Step 3: Cross multiply
    22,922x = 48,556 × 48,556
  4. Step 4: Simplify right side
    22,922x = 2,357,685,136
  5. Step 5: Solve for x
    x = 2,357,685,136/22,922
  6. Step 6: Final answer
    x = 102,856.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.