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Finding the Third Proportional to 46.99 and 72.62

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Solution

The third proportional to 46.99 and 72.62 is: 112.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.99 : 72.62 = 72.62 : x
  2. Step 2: Convert to fraction form
    46.99/72.62 = 72.62/x
  3. Step 3: Cross multiply
    46.99x = 72.62 × 72.62
  4. Step 4: Simplify right side
    46.99x = 5,272.97
  5. Step 5: Solve for x
    x = 5,272.97/46.99
  6. Step 6: Final answer
    x = 112.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.