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Finding the Third Proportional to 1,191.74 and 2,537.26

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Solution

The third proportional to 1,191.74 and 2,537.26 is: 5,401.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.74 : 2,537.26 = 2,537.26 : x
  2. Step 2: Convert to fraction form
    1,191.74/2,537.26 = 2,537.26/x
  3. Step 3: Cross multiply
    1,191.74x = 2,537.26 × 2,537.26
  4. Step 4: Simplify right side
    1,191.74x = 6,437,697.03
  5. Step 5: Solve for x
    x = 6,437,697.03/1,191.74
  6. Step 6: Final answer
    x = 5,401.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.