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Finding the Third Proportional to 24,969.52 and 37,712.46

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Solution

The third proportional to 24,969.52 and 37,712.46 is: 56,958.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,969.52 : 37,712.46 = 37,712.46 : x
  2. Step 2: Convert to fraction form
    24,969.52/37,712.46 = 37,712.46/x
  3. Step 3: Cross multiply
    24,969.52x = 37,712.46 × 37,712.46
  4. Step 4: Simplify right side
    24,969.52x = 1,422,229,709.96
  5. Step 5: Solve for x
    x = 1,422,229,709.96/24,969.52
  6. Step 6: Final answer
    x = 56,958.64

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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.