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Finding the Third Proportional to 1,697.20 and 2,546.75

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Solution

The third proportional to 1,697.20 and 2,546.75 is: 3,821.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.20 : 2,546.75 = 2,546.75 : x
  2. Step 2: Convert to fraction form
    1,697.20/2,546.75 = 2,546.75/x
  3. Step 3: Cross multiply
    1,697.20x = 2,546.75 × 2,546.75
  4. Step 4: Simplify right side
    1,697.20x = 6,485,955.46
  5. Step 5: Solve for x
    x = 6,485,955.46/1,697.20
  6. Step 6: Final answer
    x = 3,821.56

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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.