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Finding the Third Proportional to 25,074 and 37,795

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Solution

The third proportional to 25,074 and 37,795 is: 56,969.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,074 : 37,795 = 37,795 : x
  2. Step 2: Convert to fraction form
    25,074/37,795 = 37,795/x
  3. Step 3: Cross multiply
    25,074x = 37,795 × 37,795
  4. Step 4: Simplify right side
    25,074x = 1,428,462,025
  5. Step 5: Solve for x
    x = 1,428,462,025/25,074
  6. Step 6: Final answer
    x = 56,969.85

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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.