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Finding the Third Proportional to 16,400.81 and 35,928.56

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Solution

The third proportional to 16,400.81 and 35,928.56 is: 78,707.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400.81 : 35,928.56 = 35,928.56 : x
  2. Step 2: Convert to fraction form
    16,400.81/35,928.56 = 35,928.56/x
  3. Step 3: Cross multiply
    16,400.81x = 35,928.56 × 35,928.56
  4. Step 4: Simplify right side
    16,400.81x = 1,290,861,603.32
  5. Step 5: Solve for x
    x = 1,290,861,603.32/16,400.81
  6. Step 6: Final answer
    x = 78,707.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.