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Finding the Third Proportional to 2,312.30 and 4,863.80

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Solution

The third proportional to 2,312.30 and 4,863.80 is: 10,230.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.30 : 4,863.80 = 4,863.80 : x
  2. Step 2: Convert to fraction form
    2,312.30/4,863.80 = 4,863.80/x
  3. Step 3: Cross multiply
    2,312.30x = 4,863.80 × 4,863.80
  4. Step 4: Simplify right side
    2,312.30x = 23,656,520.04
  5. Step 5: Solve for x
    x = 23,656,520.04/2,312.30
  6. Step 6: Final answer
    x = 10,230.75

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.