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Finding the Third Proportional to 753.56 and 1,152.05

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Solution

The third proportional to 753.56 and 1,152.05 is: 1,761.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.56 : 1,152.05 = 1,152.05 : x
  2. Step 2: Convert to fraction form
    753.56/1,152.05 = 1,152.05/x
  3. Step 3: Cross multiply
    753.56x = 1,152.05 × 1,152.05
  4. Step 4: Simplify right side
    753.56x = 1,327,230.57
  5. Step 5: Solve for x
    x = 1,327,230.57/753.56
  6. Step 6: Final answer
    x = 1,761.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.