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Finding the Third Proportional to 75.09 and 81.84

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Solution

The third proportional to 75.09 and 81.84 is: 89.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.09 : 81.84 = 81.84 : x
  2. Step 2: Convert to fraction form
    75.09/81.84 = 81.84/x
  3. Step 3: Cross multiply
    75.09x = 81.84 × 81.84
  4. Step 4: Simplify right side
    75.09x = 6,698.40
  5. Step 5: Solve for x
    x = 6,698.40/75.09
  6. Step 6: Final answer
    x = 89.20

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.