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Finding the Third Proportional to 12,922 and 24,223

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Solution

The third proportional to 12,922 and 24,223 is: 45,407.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,922 : 24,223 = 24,223 : x
  2. Step 2: Convert to fraction form
    12,922/24,223 = 24,223/x
  3. Step 3: Cross multiply
    12,922x = 24,223 × 24,223
  4. Step 4: Simplify right side
    12,922x = 586,753,729
  5. Step 5: Solve for x
    x = 586,753,729/12,922
  6. Step 6: Final answer
    x = 45,407.35

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.