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Finding the Third Proportional to 974.06 and 2,179.69

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Solution

The third proportional to 974.06 and 2,179.69 is: 4,877.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.06 : 2,179.69 = 2,179.69 : x
  2. Step 2: Convert to fraction form
    974.06/2,179.69 = 2,179.69/x
  3. Step 3: Cross multiply
    974.06x = 2,179.69 × 2,179.69
  4. Step 4: Simplify right side
    974.06x = 4,751,037.60
  5. Step 5: Solve for x
    x = 4,751,037.60/974.06
  6. Step 6: Final answer
    x = 4,877.55

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.