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Finding the Third Proportional to 5.02 and 7.56

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Solution

The third proportional to 5.02 and 7.56 is: 11.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.02 : 7.56 = 7.56 : x
  2. Step 2: Convert to fraction form
    5.02/7.56 = 7.56/x
  3. Step 3: Cross multiply
    5.02x = 7.56 × 7.56
  4. Step 4: Simplify right side
    5.02x = 57.13
  5. Step 5: Solve for x
    x = 57.13/5.02
  6. Step 6: Final answer
    x = 11.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.