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Finding the Third Proportional to 1,742.91 and 2,437.80

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Solution

The third proportional to 1,742.91 and 2,437.80 is: 3,409.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.91 : 2,437.80 = 2,437.80 : x
  2. Step 2: Convert to fraction form
    1,742.91/2,437.80 = 2,437.80/x
  3. Step 3: Cross multiply
    1,742.91x = 2,437.80 × 2,437.80
  4. Step 4: Simplify right side
    1,742.91x = 5,942,891.69
  5. Step 5: Solve for x
    x = 5,942,891.69/1,742.91
  6. Step 6: Final answer
    x = 3,409.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.