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Finding the Third Proportional to 10,514.25 and 22,668.75

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Solution

The third proportional to 10,514.25 and 22,668.75 is: 48,873.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.25 : 22,668.75 = 22,668.75 : x
  2. Step 2: Convert to fraction form
    10,514.25/22,668.75 = 22,668.75/x
  3. Step 3: Cross multiply
    10,514.25x = 22,668.75 × 22,668.75
  4. Step 4: Simplify right side
    10,514.25x = 513,872,226.56
  5. Step 5: Solve for x
    x = 513,872,226.56/10,514.25
  6. Step 6: Final answer
    x = 48,873.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.