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Finding the Third Proportional to 25.19 and 37.59

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Solution

The third proportional to 25.19 and 37.59 is: 56.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.19 : 37.59 = 37.59 : x
  2. Step 2: Convert to fraction form
    25.19/37.59 = 37.59/x
  3. Step 3: Cross multiply
    25.19x = 37.59 × 37.59
  4. Step 4: Simplify right side
    25.19x = 1,413.29
  5. Step 5: Solve for x
    x = 1,413.29/25.19
  6. Step 6: Final answer
    x = 56.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.