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Finding the Third Proportional to 25.13 and 38.06

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Solution

The third proportional to 25.13 and 38.06 is: 57.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.13 : 38.06 = 38.06 : x
  2. Step 2: Convert to fraction form
    25.13/38.06 = 38.06/x
  3. Step 3: Cross multiply
    25.13x = 38.06 × 38.06
  4. Step 4: Simplify right side
    25.13x = 1,448.75
  5. Step 5: Solve for x
    x = 1,448.75/25.13
  6. Step 6: Final answer
    x = 57.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.