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Finding the Third Proportional to 1,217.32 and 2,629.76

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Solution

The third proportional to 1,217.32 and 2,629.76 is: 5,681.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.32 : 2,629.76 = 2,629.76 : x
  2. Step 2: Convert to fraction form
    1,217.32/2,629.76 = 2,629.76/x
  3. Step 3: Cross multiply
    1,217.32x = 2,629.76 × 2,629.76
  4. Step 4: Simplify right side
    1,217.32x = 6,915,626.15
  5. Step 5: Solve for x
    x = 6,915,626.15/1,217.32
  6. Step 6: Final answer
    x = 5,681.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.