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Finding the Third Proportional to 2,914.73 and 4,501.20

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Solution

The third proportional to 2,914.73 and 4,501.20 is: 6,951.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.73 : 4,501.20 = 4,501.20 : x
  2. Step 2: Convert to fraction form
    2,914.73/4,501.20 = 4,501.20/x
  3. Step 3: Cross multiply
    2,914.73x = 4,501.20 × 4,501.20
  4. Step 4: Simplify right side
    2,914.73x = 20,260,759.24
  5. Step 5: Solve for x
    x = 20,260,759.24/2,914.73
  6. Step 6: Final answer
    x = 6,951.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.