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Finding the Third Proportional to 2,295.92 and 5,422.65

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Solution

The third proportional to 2,295.92 and 5,422.65 is: 12,807.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.92 : 5,422.65 = 5,422.65 : x
  2. Step 2: Convert to fraction form
    2,295.92/5,422.65 = 5,422.65/x
  3. Step 3: Cross multiply
    2,295.92x = 5,422.65 × 5,422.65
  4. Step 4: Simplify right side
    2,295.92x = 29,405,126.67
  5. Step 5: Solve for x
    x = 29,405,126.67/2,295.92
  6. Step 6: Final answer
    x = 12,807.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.