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Finding the Third Proportional to 1,358.33 and 2,947.32

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Solution

The third proportional to 1,358.33 and 2,947.32 is: 6,395.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.33 : 2,947.32 = 2,947.32 : x
  2. Step 2: Convert to fraction form
    1,358.33/2,947.32 = 2,947.32/x
  3. Step 3: Cross multiply
    1,358.33x = 2,947.32 × 2,947.32
  4. Step 4: Simplify right side
    1,358.33x = 8,686,720.05
  5. Step 5: Solve for x
    x = 8,686,720.05/1,358.33
  6. Step 6: Final answer
    x = 6,395.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.