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Finding the Third Proportional to 21,935.81 and 33,101.16

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Solution

The third proportional to 21,935.81 and 33,101.16 is: 49,949.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,935.81 : 33,101.16 = 33,101.16 : x
  2. Step 2: Convert to fraction form
    21,935.81/33,101.16 = 33,101.16/x
  3. Step 3: Cross multiply
    21,935.81x = 33,101.16 × 33,101.16
  4. Step 4: Simplify right side
    21,935.81x = 1,095,686,545.09
  5. Step 5: Solve for x
    x = 1,095,686,545.09/21,935.81
  6. Step 6: Final answer
    x = 49,949.67

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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.