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Finding the Third Proportional to 755.63 and 1,536.75

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Solution

The third proportional to 755.63 and 1,536.75 is: 3,125.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.63 : 1,536.75 = 1,536.75 : x
  2. Step 2: Convert to fraction form
    755.63/1,536.75 = 1,536.75/x
  3. Step 3: Cross multiply
    755.63x = 1,536.75 × 1,536.75
  4. Step 4: Simplify right side
    755.63x = 2,361,600.56
  5. Step 5: Solve for x
    x = 2,361,600.56/755.63
  6. Step 6: Final answer
    x = 3,125.36

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.