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Finding the Third Proportional to 25.50 and 59.81

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Solution

The third proportional to 25.50 and 59.81 is: 140.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.50 : 59.81 = 59.81 : x
  2. Step 2: Convert to fraction form
    25.50/59.81 = 59.81/x
  3. Step 3: Cross multiply
    25.50x = 59.81 × 59.81
  4. Step 4: Simplify right side
    25.50x = 3,577.54
  5. Step 5: Solve for x
    x = 3,577.54/25.50
  6. Step 6: Final answer
    x = 140.30

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.