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Finding the Third Proportional to 23.77 and 30.02

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Solution

The third proportional to 23.77 and 30.02 is: 37.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.77 : 30.02 = 30.02 : x
  2. Step 2: Convert to fraction form
    23.77/30.02 = 30.02/x
  3. Step 3: Cross multiply
    23.77x = 30.02 × 30.02
  4. Step 4: Simplify right side
    23.77x = 901.41
  5. Step 5: Solve for x
    x = 901.41/23.77
  6. Step 6: Final answer
    x = 37.93

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.