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Finding the Third Proportional to 25,367.50 and 37,906

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Solution

The third proportional to 25,367.50 and 37,906 is: 56,641.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,367.50 : 37,906 = 37,906 : x
  2. Step 2: Convert to fraction form
    25,367.50/37,906 = 37,906/x
  3. Step 3: Cross multiply
    25,367.50x = 37,906 × 37,906
  4. Step 4: Simplify right side
    25,367.50x = 1,436,864,836
  5. Step 5: Solve for x
    x = 1,436,864,836/25,367.50
  6. Step 6: Final answer
    x = 56,641.96

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