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Finding the Third Proportional to 22,328.25 and 30,757.88

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Solution

The third proportional to 22,328.25 and 30,757.88 is: 42,369.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,328.25 : 30,757.88 = 30,757.88 : x
  2. Step 2: Convert to fraction form
    22,328.25/30,757.88 = 30,757.88/x
  3. Step 3: Cross multiply
    22,328.25x = 30,757.88 × 30,757.88
  4. Step 4: Simplify right side
    22,328.25x = 946,046,874.52
  5. Step 5: Solve for x
    x = 946,046,874.52/22,328.25
  6. Step 6: Final answer
    x = 42,369.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.