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Finding the Third Proportional to 1,375.10 and 2,947.64

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Solution

The third proportional to 1,375.10 and 2,947.64 is: 6,318.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.10 : 2,947.64 = 2,947.64 : x
  2. Step 2: Convert to fraction form
    1,375.10/2,947.64 = 2,947.64/x
  3. Step 3: Cross multiply
    1,375.10x = 2,947.64 × 2,947.64
  4. Step 4: Simplify right side
    1,375.10x = 8,688,585.25
  5. Step 5: Solve for x
    x = 8,688,585.25/1,375.10
  6. Step 6: Final answer
    x = 6,318.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.