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Finding the Third Proportional to 2,746.56 and 4,251.55

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Solution

The third proportional to 2,746.56 and 4,251.55 is: 6,581.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.56 : 4,251.55 = 4,251.55 : x
  2. Step 2: Convert to fraction form
    2,746.56/4,251.55 = 4,251.55/x
  3. Step 3: Cross multiply
    2,746.56x = 4,251.55 × 4,251.55
  4. Step 4: Simplify right side
    2,746.56x = 18,075,684.05
  5. Step 5: Solve for x
    x = 18,075,684.05/2,746.56
  6. Step 6: Final answer
    x = 6,581.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.