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Finding the Third Proportional to 25.08 and 37.17

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Solution

The third proportional to 25.08 and 37.17 is: 55.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.08 : 37.17 = 37.17 : x
  2. Step 2: Convert to fraction form
    25.08/37.17 = 37.17/x
  3. Step 3: Cross multiply
    25.08x = 37.17 × 37.17
  4. Step 4: Simplify right side
    25.08x = 1,381.75
  5. Step 5: Solve for x
    x = 1,381.75/25.08
  6. Step 6: Final answer
    x = 55.10

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.