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Finding the Third Proportional to 752.89 and 1,596.90

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Solution

The third proportional to 752.89 and 1,596.90 is: 3,387.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.89 : 1,596.90 = 1,596.90 : x
  2. Step 2: Convert to fraction form
    752.89/1,596.90 = 1,596.90/x
  3. Step 3: Cross multiply
    752.89x = 1,596.90 × 1,596.90
  4. Step 4: Simplify right side
    752.89x = 2,550,097.10
  5. Step 5: Solve for x
    x = 2,550,097.10/752.89
  6. Step 6: Final answer
    x = 3,387.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.