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Finding the Third Proportional to 14.88 and 31.06

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Solution

The third proportional to 14.88 and 31.06 is: 64.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.88 : 31.06 = 31.06 : x
  2. Step 2: Convert to fraction form
    14.88/31.06 = 31.06/x
  3. Step 3: Cross multiply
    14.88x = 31.06 × 31.06
  4. Step 4: Simplify right side
    14.88x = 964.88
  5. Step 5: Solve for x
    x = 964.88/14.88
  6. Step 6: Final answer
    x = 64.87

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.