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Finding the Third Proportional to 3,953.81 and 9,104.91

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Solution

The third proportional to 3,953.81 and 9,104.91 is: 20,966.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.81 : 9,104.91 = 9,104.91 : x
  2. Step 2: Convert to fraction form
    3,953.81/9,104.91 = 9,104.91/x
  3. Step 3: Cross multiply
    3,953.81x = 9,104.91 × 9,104.91
  4. Step 4: Simplify right side
    3,953.81x = 82,899,317.82
  5. Step 5: Solve for x
    x = 82,899,317.82/3,953.81
  6. Step 6: Final answer
    x = 20,966.93

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.