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Finding the Third Proportional to 2,462.91 and 4,458.80

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Solution

The third proportional to 2,462.91 and 4,458.80 is: 8,072.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.91 : 4,458.80 = 4,458.80 : x
  2. Step 2: Convert to fraction form
    2,462.91/4,458.80 = 4,458.80/x
  3. Step 3: Cross multiply
    2,462.91x = 4,458.80 × 4,458.80
  4. Step 4: Simplify right side
    2,462.91x = 19,880,869.57
  5. Step 5: Solve for x
    x = 19,880,869.57/2,462.91
  6. Step 6: Final answer
    x = 8,072.12

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.