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Finding the Third Proportional to 8.72 and 14.77

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Solution

The third proportional to 8.72 and 14.77 is: 25.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.72 : 14.77 = 14.77 : x
  2. Step 2: Convert to fraction form
    8.72/14.77 = 14.77/x
  3. Step 3: Cross multiply
    8.72x = 14.77 × 14.77
  4. Step 4: Simplify right side
    8.72x = 218.02
  5. Step 5: Solve for x
    x = 218.02/8.72
  6. Step 6: Final answer
    x = 25.01

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.