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Finding the Third Proportional to 24,857.25 and 37,647.75

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Solution

The third proportional to 24,857.25 and 37,647.75 is: 57,019.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,857.25 : 37,647.75 = 37,647.75 : x
  2. Step 2: Convert to fraction form
    24,857.25/37,647.75 = 37,647.75/x
  3. Step 3: Cross multiply
    24,857.25x = 37,647.75 × 37,647.75
  4. Step 4: Simplify right side
    24,857.25x = 1,417,353,080.06
  5. Step 5: Solve for x
    x = 1,417,353,080.06/24,857.25
  6. Step 6: Final answer
    x = 57,019.71

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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.