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Finding the Third Proportional to 22,262 and 34,233

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Solution

The third proportional to 22,262 and 34,233 is: 52,641.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,262 : 34,233 = 34,233 : x
  2. Step 2: Convert to fraction form
    22,262/34,233 = 34,233/x
  3. Step 3: Cross multiply
    22,262x = 34,233 × 34,233
  4. Step 4: Simplify right side
    22,262x = 1,171,898,289
  5. Step 5: Solve for x
    x = 1,171,898,289/22,262
  6. Step 6: Final answer
    x = 52,641.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.