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Finding the Third Proportional to 1,332.70 and 2,751.47

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Solution

The third proportional to 1,332.70 and 2,751.47 is: 5,680.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.70 : 2,751.47 = 2,751.47 : x
  2. Step 2: Convert to fraction form
    1,332.70/2,751.47 = 2,751.47/x
  3. Step 3: Cross multiply
    1,332.70x = 2,751.47 × 2,751.47
  4. Step 4: Simplify right side
    1,332.70x = 7,570,580.28
  5. Step 5: Solve for x
    x = 7,570,580.28/1,332.70
  6. Step 6: Final answer
    x = 5,680.62

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.