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Finding the Third Proportional to 755.16 and 1,649.74

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Solution

The third proportional to 755.16 and 1,649.74 is: 3,604.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.16 : 1,649.74 = 1,649.74 : x
  2. Step 2: Convert to fraction form
    755.16/1,649.74 = 1,649.74/x
  3. Step 3: Cross multiply
    755.16x = 1,649.74 × 1,649.74
  4. Step 4: Simplify right side
    755.16x = 2,721,649.29
  5. Step 5: Solve for x
    x = 2,721,649.29/755.16
  6. Step 6: Final answer
    x = 3,604.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.