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Finding the Third Proportional to 4.16 and 9.07

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Solution

The third proportional to 4.16 and 9.07 is: 19.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.16 : 9.07 = 9.07 : x
  2. Step 2: Convert to fraction form
    4.16/9.07 = 9.07/x
  3. Step 3: Cross multiply
    4.16x = 9.07 × 9.07
  4. Step 4: Simplify right side
    4.16x = 82.27
  5. Step 5: Solve for x
    x = 82.27/4.16
  6. Step 6: Final answer
    x = 19.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.