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Finding the Third Proportional to 4,550.34 and 9,647.16

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Solution

The third proportional to 4,550.34 and 9,647.16 is: 20,452.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,550.34 : 9,647.16 = 9,647.16 : x
  2. Step 2: Convert to fraction form
    4,550.34/9,647.16 = 9,647.16/x
  3. Step 3: Cross multiply
    4,550.34x = 9,647.16 × 9,647.16
  4. Step 4: Simplify right side
    4,550.34x = 93,067,623.71
  5. Step 5: Solve for x
    x = 93,067,623.71/4,550.34
  6. Step 6: Final answer
    x = 20,452.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.