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Finding the Third Proportional to 9,449.16 and 20,508.19

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Solution

The third proportional to 9,449.16 and 20,508.19 is: 44,510.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,449.16 : 20,508.19 = 20,508.19 : x
  2. Step 2: Convert to fraction form
    9,449.16/20,508.19 = 20,508.19/x
  3. Step 3: Cross multiply
    9,449.16x = 20,508.19 × 20,508.19
  4. Step 4: Simplify right side
    9,449.16x = 420,585,754.54
  5. Step 5: Solve for x
    x = 420,585,754.54/9,449.16
  6. Step 6: Final answer
    x = 44,510.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.