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Finding the Third Proportional to 8.63 and 19.47

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Solution

The third proportional to 8.63 and 19.47 is: 43.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.63 : 19.47 = 19.47 : x
  2. Step 2: Convert to fraction form
    8.63/19.47 = 19.47/x
  3. Step 3: Cross multiply
    8.63x = 19.47 × 19.47
  4. Step 4: Simplify right side
    8.63x = 379.03
  5. Step 5: Solve for x
    x = 379.03/8.63
  6. Step 6: Final answer
    x = 43.95

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.