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Finding the Third Proportional to 16,496.81 and 35,971.31

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Solution

The third proportional to 16,496.81 and 35,971.31 is: 78,435.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,496.81 : 35,971.31 = 35,971.31 : x
  2. Step 2: Convert to fraction form
    16,496.81/35,971.31 = 35,971.31/x
  3. Step 3: Cross multiply
    16,496.81x = 35,971.31 × 35,971.31
  4. Step 4: Simplify right side
    16,496.81x = 1,293,935,322.97
  5. Step 5: Solve for x
    x = 1,293,935,322.97/16,496.81
  6. Step 6: Final answer
    x = 78,435.47

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.