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Finding the Third Proportional to 13.75 and 30.02

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Solution

The third proportional to 13.75 and 30.02 is: 65.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.75 : 30.02 = 30.02 : x
  2. Step 2: Convert to fraction form
    13.75/30.02 = 30.02/x
  3. Step 3: Cross multiply
    13.75x = 30.02 × 30.02
  4. Step 4: Simplify right side
    13.75x = 901.41
  5. Step 5: Solve for x
    x = 901.41/13.75
  6. Step 6: Final answer
    x = 65.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.