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Finding the Third Proportional to 25,102 and 36,958

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Solution

The third proportional to 25,102 and 36,958 is: 54,413.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,102 : 36,958 = 36,958 : x
  2. Step 2: Convert to fraction form
    25,102/36,958 = 36,958/x
  3. Step 3: Cross multiply
    25,102x = 36,958 × 36,958
  4. Step 4: Simplify right side
    25,102x = 1,365,893,764
  5. Step 5: Solve for x
    x = 1,365,893,764/25,102
  6. Step 6: Final answer
    x = 54,413.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.