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Finding the Third Proportional to 1,588.31 and 2,394.19

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Solution

The third proportional to 1,588.31 and 2,394.19 is: 3,608.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.31 : 2,394.19 = 2,394.19 : x
  2. Step 2: Convert to fraction form
    1,588.31/2,394.19 = 2,394.19/x
  3. Step 3: Cross multiply
    1,588.31x = 2,394.19 × 2,394.19
  4. Step 4: Simplify right side
    1,588.31x = 5,732,133.79
  5. Step 5: Solve for x
    x = 5,732,133.79/1,588.31
  6. Step 6: Final answer
    x = 3,608.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.