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Finding the Third Proportional to 9.24 and 13.59

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Solution

The third proportional to 9.24 and 13.59 is: 20.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.24 : 13.59 = 13.59 : x
  2. Step 2: Convert to fraction form
    9.24/13.59 = 13.59/x
  3. Step 3: Cross multiply
    9.24x = 13.59 × 13.59
  4. Step 4: Simplify right side
    9.24x = 184.75
  5. Step 5: Solve for x
    x = 184.75/9.24
  6. Step 6: Final answer
    x = 20.00

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.