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Finding the Third Proportional to 22,825 and 34,548

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Solution

The third proportional to 22,825 and 34,548 is: 52,291.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,825 : 34,548 = 34,548 : x
  2. Step 2: Convert to fraction form
    22,825/34,548 = 34,548/x
  3. Step 3: Cross multiply
    22,825x = 34,548 × 34,548
  4. Step 4: Simplify right side
    22,825x = 1,193,564,304
  5. Step 5: Solve for x
    x = 1,193,564,304/22,825
  6. Step 6: Final answer
    x = 52,291.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.