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Finding the Third Proportional to 2,295.92 and 4,976.28

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Solution

The third proportional to 2,295.92 and 4,976.28 is: 10,785.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.92 : 4,976.28 = 4,976.28 : x
  2. Step 2: Convert to fraction form
    2,295.92/4,976.28 = 4,976.28/x
  3. Step 3: Cross multiply
    2,295.92x = 4,976.28 × 4,976.28
  4. Step 4: Simplify right side
    2,295.92x = 24,763,355.64
  5. Step 5: Solve for x
    x = 24,763,355.64/2,295.92
  6. Step 6: Final answer
    x = 10,785.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.