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Finding the Third Proportional to 13,835.81 and 29,964.94

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Solution

The third proportional to 13,835.81 and 29,964.94 is: 64,896.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,835.81 : 29,964.94 = 29,964.94 : x
  2. Step 2: Convert to fraction form
    13,835.81/29,964.94 = 29,964.94/x
  3. Step 3: Cross multiply
    13,835.81x = 29,964.94 × 29,964.94
  4. Step 4: Simplify right side
    13,835.81x = 897,897,479.38
  5. Step 5: Solve for x
    x = 897,897,479.38/13,835.81
  6. Step 6: Final answer
    x = 64,896.62

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.