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Finding the Third Proportional to 7.48 and 11.28

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Solution

The third proportional to 7.48 and 11.28 is: 17.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.48 : 11.28 = 11.28 : x
  2. Step 2: Convert to fraction form
    7.48/11.28 = 11.28/x
  3. Step 3: Cross multiply
    7.48x = 11.28 × 11.28
  4. Step 4: Simplify right side
    7.48x = 127.17
  5. Step 5: Solve for x
    x = 127.17/7.48
  6. Step 6: Final answer
    x = 17.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.