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Finding the Third Proportional to 2,479.78 and 4,228.45

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Solution

The third proportional to 2,479.78 and 4,228.45 is: 7,210.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479.78 : 4,228.45 = 4,228.45 : x
  2. Step 2: Convert to fraction form
    2,479.78/4,228.45 = 4,228.45/x
  3. Step 3: Cross multiply
    2,479.78x = 4,228.45 × 4,228.45
  4. Step 4: Simplify right side
    2,479.78x = 17,879,815.83
  5. Step 5: Solve for x
    x = 17,879,815.83/2,479.78
  6. Step 6: Final answer
    x = 7,210.24

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.