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Finding the Third Proportional to 1,650.75 and 2,470.13

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Solution

The third proportional to 1,650.75 and 2,470.13 is: 3,696.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.75 : 2,470.13 = 2,470.13 : x
  2. Step 2: Convert to fraction form
    1,650.75/2,470.13 = 2,470.13/x
  3. Step 3: Cross multiply
    1,650.75x = 2,470.13 × 2,470.13
  4. Step 4: Simplify right side
    1,650.75x = 6,101,517.52
  5. Step 5: Solve for x
    x = 6,101,517.52/1,650.75
  6. Step 6: Final answer
    x = 3,696.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.