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Finding the Third Proportional to 7.47 and 16.16

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Solution

The third proportional to 7.47 and 16.16 is: 34.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.47 : 16.16 = 16.16 : x
  2. Step 2: Convert to fraction form
    7.47/16.16 = 16.16/x
  3. Step 3: Cross multiply
    7.47x = 16.16 × 16.16
  4. Step 4: Simplify right side
    7.47x = 261.02
  5. Step 5: Solve for x
    x = 261.02/7.47
  6. Step 6: Final answer
    x = 34.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.