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Finding the Third Proportional to 23,504.91 and 48,953.81

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Solution

The third proportional to 23,504.91 and 48,953.81 is: 101,956.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,504.91 : 48,953.81 = 48,953.81 : x
  2. Step 2: Convert to fraction form
    23,504.91/48,953.81 = 48,953.81/x
  3. Step 3: Cross multiply
    23,504.91x = 48,953.81 × 48,953.81
  4. Step 4: Simplify right side
    23,504.91x = 2,396,475,758.29
  5. Step 5: Solve for x
    x = 2,396,475,758.29/23,504.91
  6. Step 6: Final answer
    x = 101,956.41

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.