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Finding the Third Proportional to 1,537.31 and 2,366.30

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Solution

The third proportional to 1,537.31 and 2,366.30 is: 3,642.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.31 : 2,366.30 = 2,366.30 : x
  2. Step 2: Convert to fraction form
    1,537.31/2,366.30 = 2,366.30/x
  3. Step 3: Cross multiply
    1,537.31x = 2,366.30 × 2,366.30
  4. Step 4: Simplify right side
    1,537.31x = 5,599,360.90
  5. Step 5: Solve for x
    x = 5,599,360.90/1,537.31
  6. Step 6: Final answer
    x = 3,642.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.