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Finding the Third Proportional to 25.84 and 55.94

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Solution

The third proportional to 25.84 and 55.94 is: 121.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.84 : 55.94 = 55.94 : x
  2. Step 2: Convert to fraction form
    25.84/55.94 = 55.94/x
  3. Step 3: Cross multiply
    25.84x = 55.94 × 55.94
  4. Step 4: Simplify right side
    25.84x = 3,129.00
  5. Step 5: Solve for x
    x = 3,129.00/25.84
  6. Step 6: Final answer
    x = 121.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.