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Finding the Third Proportional to 2,294.25 and 5,320.88

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Solution

The third proportional to 2,294.25 and 5,320.88 is: 12,340.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.25 : 5,320.88 = 5,320.88 : x
  2. Step 2: Convert to fraction form
    2,294.25/5,320.88 = 5,320.88/x
  3. Step 3: Cross multiply
    2,294.25x = 5,320.88 × 5,320.88
  4. Step 4: Simplify right side
    2,294.25x = 28,311,710.77
  5. Step 5: Solve for x
    x = 28,311,710.77/2,294.25
  6. Step 6: Final answer
    x = 12,340.29

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.