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Finding the Third Proportional to 2,295.84 and 5,280.19

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Solution

The third proportional to 2,295.84 and 5,280.19 is: 12,143.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.84 : 5,280.19 = 5,280.19 : x
  2. Step 2: Convert to fraction form
    2,295.84/5,280.19 = 5,280.19/x
  3. Step 3: Cross multiply
    2,295.84x = 5,280.19 × 5,280.19
  4. Step 4: Simplify right side
    2,295.84x = 27,880,380.04
  5. Step 5: Solve for x
    x = 27,880,380.04/2,295.84
  6. Step 6: Final answer
    x = 12,143.85

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.