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Finding the Third Proportional to 46.50 and 72.84

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Solution

The third proportional to 46.50 and 72.84 is: 114.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.50 : 72.84 = 72.84 : x
  2. Step 2: Convert to fraction form
    46.50/72.84 = 72.84/x
  3. Step 3: Cross multiply
    46.50x = 72.84 × 72.84
  4. Step 4: Simplify right side
    46.50x = 5,306.21
  5. Step 5: Solve for x
    x = 5,306.21/46.50
  6. Step 6: Final answer
    x = 114.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.