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Finding the Third Proportional to 1,348.59 and 2,947.22

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Solution

The third proportional to 1,348.59 and 2,947.22 is: 6,440.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.59 : 2,947.22 = 2,947.22 : x
  2. Step 2: Convert to fraction form
    1,348.59/2,947.22 = 2,947.22/x
  3. Step 3: Cross multiply
    1,348.59x = 2,947.22 × 2,947.22
  4. Step 4: Simplify right side
    1,348.59x = 8,686,098.36
  5. Step 5: Solve for x
    x = 8,686,098.36/1,348.59
  6. Step 6: Final answer
    x = 6,440.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.