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Finding the Third Proportional to 45.98 and 83.11

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Solution

The third proportional to 45.98 and 83.11 is: 150.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.98 : 83.11 = 83.11 : x
  2. Step 2: Convert to fraction form
    45.98/83.11 = 83.11/x
  3. Step 3: Cross multiply
    45.98x = 83.11 × 83.11
  4. Step 4: Simplify right side
    45.98x = 6,907.17
  5. Step 5: Solve for x
    x = 6,907.17/45.98
  6. Step 6: Final answer
    x = 150.21

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.