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Finding the Third Proportional to 22,882.50 and 36,456.75

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Solution

The third proportional to 22,882.50 and 36,456.75 is: 58,083.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,882.50 : 36,456.75 = 36,456.75 : x
  2. Step 2: Convert to fraction form
    22,882.50/36,456.75 = 36,456.75/x
  3. Step 3: Cross multiply
    22,882.50x = 36,456.75 × 36,456.75
  4. Step 4: Simplify right side
    22,882.50x = 1,329,094,620.56
  5. Step 5: Solve for x
    x = 1,329,094,620.56/22,882.50
  6. Step 6: Final answer
    x = 58,083.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.