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Finding the Third Proportional to 1,801.31 and 2,637.19

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Solution

The third proportional to 1,801.31 and 2,637.19 is: 3,860.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.31 : 2,637.19 = 2,637.19 : x
  2. Step 2: Convert to fraction form
    1,801.31/2,637.19 = 2,637.19/x
  3. Step 3: Cross multiply
    1,801.31x = 2,637.19 × 2,637.19
  4. Step 4: Simplify right side
    1,801.31x = 6,954,757.91
  5. Step 5: Solve for x
    x = 6,954,757.91/1,801.31
  6. Step 6: Final answer
    x = 3,860.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.