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Finding the Third Proportional to 22,867 and 34,706

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Solution

The third proportional to 22,867 and 34,706 is: 52,674.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,867 : 34,706 = 34,706 : x
  2. Step 2: Convert to fraction form
    22,867/34,706 = 34,706/x
  3. Step 3: Cross multiply
    22,867x = 34,706 × 34,706
  4. Step 4: Simplify right side
    22,867x = 1,204,506,436
  5. Step 5: Solve for x
    x = 1,204,506,436/22,867
  6. Step 6: Final answer
    x = 52,674.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.