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Finding the Third Proportional to 8,874.56 and 20,422.13

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Solution

The third proportional to 8,874.56 and 20,422.13 is: 46,995.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,874.56 : 20,422.13 = 20,422.13 : x
  2. Step 2: Convert to fraction form
    8,874.56/20,422.13 = 20,422.13/x
  3. Step 3: Cross multiply
    8,874.56x = 20,422.13 × 20,422.13
  4. Step 4: Simplify right side
    8,874.56x = 417,063,189.52
  5. Step 5: Solve for x
    x = 417,063,189.52/8,874.56
  6. Step 6: Final answer
    x = 46,995.35

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.