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Finding the Third Proportional to 14.59 and 18.71

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Solution

The third proportional to 14.59 and 18.71 is: 23.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.59 : 18.71 = 18.71 : x
  2. Step 2: Convert to fraction form
    14.59/18.71 = 18.71/x
  3. Step 3: Cross multiply
    14.59x = 18.71 × 18.71
  4. Step 4: Simplify right side
    14.59x = 349.95
  5. Step 5: Solve for x
    x = 349.95/14.59
  6. Step 6: Final answer
    x = 23.99

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.