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Finding the Third Proportional to 9.07 and 16.45

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Solution

The third proportional to 9.07 and 16.45 is: 29.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.07 : 16.45 = 16.45 : x
  2. Step 2: Convert to fraction form
    9.07/16.45 = 16.45/x
  3. Step 3: Cross multiply
    9.07x = 16.45 × 16.45
  4. Step 4: Simplify right side
    9.07x = 270.71
  5. Step 5: Solve for x
    x = 270.71/9.07
  6. Step 6: Final answer
    x = 29.85

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.