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Finding the Third Proportional to 4,403.53 and 9,514.97

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Solution

The third proportional to 4,403.53 and 9,514.97 is: 20,559.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,403.53 : 9,514.97 = 9,514.97 : x
  2. Step 2: Convert to fraction form
    4,403.53/9,514.97 = 9,514.97/x
  3. Step 3: Cross multiply
    4,403.53x = 9,514.97 × 9,514.97
  4. Step 4: Simplify right side
    4,403.53x = 90,534,630.31
  5. Step 5: Solve for x
    x = 90,534,630.31/4,403.53
  6. Step 6: Final answer
    x = 20,559.55

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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.