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Finding the Third Proportional to 30.84 and 45.09

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Solution

The third proportional to 30.84 and 45.09 is: 65.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.84 : 45.09 = 45.09 : x
  2. Step 2: Convert to fraction form
    30.84/45.09 = 45.09/x
  3. Step 3: Cross multiply
    30.84x = 45.09 × 45.09
  4. Step 4: Simplify right side
    30.84x = 2,033.45
  5. Step 5: Solve for x
    x = 2,033.45/30.84
  6. Step 6: Final answer
    x = 65.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.