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Finding the Third Proportional to 47.57 and 81.21

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Solution

The third proportional to 47.57 and 81.21 is: 138.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.57 : 81.21 = 81.21 : x
  2. Step 2: Convert to fraction form
    47.57/81.21 = 81.21/x
  3. Step 3: Cross multiply
    47.57x = 81.21 × 81.21
  4. Step 4: Simplify right side
    47.57x = 6,595.22
  5. Step 5: Solve for x
    x = 6,595.22/47.57
  6. Step 6: Final answer
    x = 138.65

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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.