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Finding the Third Proportional to 1,549.37 and 2,360.37

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Solution

The third proportional to 1,549.37 and 2,360.37 is: 3,595.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.37 : 2,360.37 = 2,360.37 : x
  2. Step 2: Convert to fraction form
    1,549.37/2,360.37 = 2,360.37/x
  3. Step 3: Cross multiply
    1,549.37x = 2,360.37 × 2,360.37
  4. Step 4: Simplify right side
    1,549.37x = 5,571,360.92
  5. Step 5: Solve for x
    x = 5,571,360.92/1,549.37
  6. Step 6: Final answer
    x = 3,595.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.