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Finding the Third Proportional to 14.86 and 24.00

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Solution

The third proportional to 14.86 and 24.00 is: 38.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.86 : 24.00 = 24.00 : x
  2. Step 2: Convert to fraction form
    14.86/24.00 = 24.00/x
  3. Step 3: Cross multiply
    14.86x = 24.00 × 24.00
  4. Step 4: Simplify right side
    14.86x = 575.87
  5. Step 5: Solve for x
    x = 575.87/14.86
  6. Step 6: Final answer
    x = 38.76

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.