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Finding the Third Proportional to 9.07 and 13.50

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Solution

The third proportional to 9.07 and 13.50 is: 20.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.07 : 13.50 = 13.50 : x
  2. Step 2: Convert to fraction form
    9.07/13.50 = 13.50/x
  3. Step 3: Cross multiply
    9.07x = 13.50 × 13.50
  4. Step 4: Simplify right side
    9.07x = 182.25
  5. Step 5: Solve for x
    x = 182.25/9.07
  6. Step 6: Final answer
    x = 20.09

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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.