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Finding the Third Proportional to 30.13 and 32.94

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Solution

The third proportional to 30.13 and 32.94 is: 36.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.13 : 32.94 = 32.94 : x
  2. Step 2: Convert to fraction form
    30.13/32.94 = 32.94/x
  3. Step 3: Cross multiply
    30.13x = 32.94 × 32.94
  4. Step 4: Simplify right side
    30.13x = 1,084.88
  5. Step 5: Solve for x
    x = 1,084.88/30.13
  6. Step 6: Final answer
    x = 36.01

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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.