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Finding the Third Proportional to 25.36 and 45.84

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Solution

The third proportional to 25.36 and 45.84 is: 82.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.36 : 45.84 = 45.84 : x
  2. Step 2: Convert to fraction form
    25.36/45.84 = 45.84/x
  3. Step 3: Cross multiply
    25.36x = 45.84 × 45.84
  4. Step 4: Simplify right side
    25.36x = 2,101.65
  5. Step 5: Solve for x
    x = 2,101.65/25.36
  6. Step 6: Final answer
    x = 82.87

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.