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Finding the Third Proportional to 753.84 and 1,152.38

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Solution

The third proportional to 753.84 and 1,152.38 is: 1,761.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.84 : 1,152.38 = 1,152.38 : x
  2. Step 2: Convert to fraction form
    753.84/1,152.38 = 1,152.38/x
  3. Step 3: Cross multiply
    753.84x = 1,152.38 × 1,152.38
  4. Step 4: Simplify right side
    753.84x = 1,327,968.14
  5. Step 5: Solve for x
    x = 1,327,968.14/753.84
  6. Step 6: Final answer
    x = 1,761.60

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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.