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Finding the Third Proportional to 8.72 and 19.05

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Solution

The third proportional to 8.72 and 19.05 is: 41.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.72 : 19.05 = 19.05 : x
  2. Step 2: Convert to fraction form
    8.72/19.05 = 19.05/x
  3. Step 3: Cross multiply
    8.72x = 19.05 × 19.05
  4. Step 4: Simplify right side
    8.72x = 363.08
  5. Step 5: Solve for x
    x = 363.08/8.72
  6. Step 6: Final answer
    x = 41.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.