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Finding the Third Proportional to 46.45 and 62.11

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Solution

The third proportional to 46.45 and 62.11 is: 83.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.45 : 62.11 = 62.11 : x
  2. Step 2: Convert to fraction form
    46.45/62.11 = 62.11/x
  3. Step 3: Cross multiply
    46.45x = 62.11 × 62.11
  4. Step 4: Simplify right side
    46.45x = 3,858.21
  5. Step 5: Solve for x
    x = 3,858.21/46.45
  6. Step 6: Final answer
    x = 83.06

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.