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Finding the Third Proportional to 25.68 and 37.62

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Solution

The third proportional to 25.68 and 37.62 is: 55.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.68 : 37.62 = 37.62 : x
  2. Step 2: Convert to fraction form
    25.68/37.62 = 37.62/x
  3. Step 3: Cross multiply
    25.68x = 37.62 × 37.62
  4. Step 4: Simplify right side
    25.68x = 1,415.07
  5. Step 5: Solve for x
    x = 1,415.07/25.68
  6. Step 6: Final answer
    x = 55.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.