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Finding the Third Proportional to 9.46 and 14.87

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Solution

The third proportional to 9.46 and 14.87 is: 23.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.46 : 14.87 = 14.87 : x
  2. Step 2: Convert to fraction form
    9.46/14.87 = 14.87/x
  3. Step 3: Cross multiply
    9.46x = 14.87 × 14.87
  4. Step 4: Simplify right side
    9.46x = 221.02
  5. Step 5: Solve for x
    x = 221.02/9.46
  6. Step 6: Final answer
    x = 23.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.