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Finding the Third Proportional to 1,275.19 and 2,697.19

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Solution

The third proportional to 1,275.19 and 2,697.19 is: 5,704.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.19 : 2,697.19 = 2,697.19 : x
  2. Step 2: Convert to fraction form
    1,275.19/2,697.19 = 2,697.19/x
  3. Step 3: Cross multiply
    1,275.19x = 2,697.19 × 2,697.19
  4. Step 4: Simplify right side
    1,275.19x = 7,274,820.41
  5. Step 5: Solve for x
    x = 7,274,820.41/1,275.19
  6. Step 6: Final answer
    x = 5,704.90

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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.