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Finding the Third Proportional to 5.07 and 7.54

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Solution

The third proportional to 5.07 and 7.54 is: 11.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.07 : 7.54 = 7.54 : x
  2. Step 2: Convert to fraction form
    5.07/7.54 = 7.54/x
  3. Step 3: Cross multiply
    5.07x = 7.54 × 7.54
  4. Step 4: Simplify right side
    5.07x = 56.90
  5. Step 5: Solve for x
    x = 56.90/5.07
  6. Step 6: Final answer
    x = 11.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.