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Finding the Third Proportional to 25.37 and 32.98

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Solution

The third proportional to 25.37 and 32.98 is: 42.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.37 : 32.98 = 32.98 : x
  2. Step 2: Convert to fraction form
    25.37/32.98 = 32.98/x
  3. Step 3: Cross multiply
    25.37x = 32.98 × 32.98
  4. Step 4: Simplify right side
    25.37x = 1,087.35
  5. Step 5: Solve for x
    x = 1,087.35/25.37
  6. Step 6: Final answer
    x = 42.87

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.