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Finding the Third Proportional to 1,594.33 and 2,393.10

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Solution

The third proportional to 1,594.33 and 2,393.10 is: 3,592.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.33 : 2,393.10 = 2,393.10 : x
  2. Step 2: Convert to fraction form
    1,594.33/2,393.10 = 2,393.10/x
  3. Step 3: Cross multiply
    1,594.33x = 2,393.10 × 2,393.10
  4. Step 4: Simplify right side
    1,594.33x = 5,726,923.40
  5. Step 5: Solve for x
    x = 5,726,923.40/1,594.33
  6. Step 6: Final answer
    x = 3,592.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.