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Finding the Third Proportional to 7,450.88 and 15,514.31

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Solution

The third proportional to 7,450.88 and 15,514.31 is: 32,304.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,450.88 : 15,514.31 = 15,514.31 : x
  2. Step 2: Convert to fraction form
    7,450.88/15,514.31 = 15,514.31/x
  3. Step 3: Cross multiply
    7,450.88x = 15,514.31 × 15,514.31
  4. Step 4: Simplify right side
    7,450.88x = 240,693,892.35
  5. Step 5: Solve for x
    x = 240,693,892.35/7,450.88
  6. Step 6: Final answer
    x = 32,304.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.