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Finding the Third Proportional to 8,514.75 and 18,562.13

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Solution

The third proportional to 8,514.75 and 18,562.13 is: 40,465.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.75 : 18,562.13 = 18,562.13 : x
  2. Step 2: Convert to fraction form
    8,514.75/18,562.13 = 18,562.13/x
  3. Step 3: Cross multiply
    8,514.75x = 18,562.13 × 18,562.13
  4. Step 4: Simplify right side
    8,514.75x = 344,552,484.52
  5. Step 5: Solve for x
    x = 344,552,484.52/8,514.75
  6. Step 6: Final answer
    x = 40,465.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.