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Finding the Third Proportional to 25,974.75 and 39,137.63

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Solution

The third proportional to 25,974.75 and 39,137.63 is: 58,970.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,974.75 : 39,137.63 = 39,137.63 : x
  2. Step 2: Convert to fraction form
    25,974.75/39,137.63 = 39,137.63/x
  3. Step 3: Cross multiply
    25,974.75x = 39,137.63 × 39,137.63
  4. Step 4: Simplify right side
    25,974.75x = 1,531,753,690.64
  5. Step 5: Solve for x
    x = 1,531,753,690.64/25,974.75
  6. Step 6: Final answer
    x = 58,970.87

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