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Finding the Third Proportional to 2,095.16 and 4,519.20

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Solution

The third proportional to 2,095.16 and 4,519.20 is: 9,747.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.16 : 4,519.20 = 4,519.20 : x
  2. Step 2: Convert to fraction form
    2,095.16/4,519.20 = 4,519.20/x
  3. Step 3: Cross multiply
    2,095.16x = 4,519.20 × 4,519.20
  4. Step 4: Simplify right side
    2,095.16x = 20,423,142.41
  5. Step 5: Solve for x
    x = 20,423,142.41/2,095.16
  6. Step 6: Final answer
    x = 9,747.76

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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.