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Finding the Third Proportional to 25.00 and 37.34

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Solution

The third proportional to 25.00 and 37.34 is: 55.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.00 : 37.34 = 37.34 : x
  2. Step 2: Convert to fraction form
    25.00/37.34 = 37.34/x
  3. Step 3: Cross multiply
    25.00x = 37.34 × 37.34
  4. Step 4: Simplify right side
    25.00x = 1,393.97
  5. Step 5: Solve for x
    x = 1,393.97/25.00
  6. Step 6: Final answer
    x = 55.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.