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Finding the Third Proportional to 8.77 and 14.97

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Solution

The third proportional to 8.77 and 14.97 is: 25.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.77 : 14.97 = 14.97 : x
  2. Step 2: Convert to fraction form
    8.77/14.97 = 14.97/x
  3. Step 3: Cross multiply
    8.77x = 14.97 × 14.97
  4. Step 4: Simplify right side
    8.77x = 224.01
  5. Step 5: Solve for x
    x = 224.01/8.77
  6. Step 6: Final answer
    x = 25.55

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.