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Finding the Third Proportional to 36,351.28 and 77,096.81

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Solution

The third proportional to 36,351.28 and 77,096.81 is: 163,513.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,351.28 : 77,096.81 = 77,096.81 : x
  2. Step 2: Convert to fraction form
    36,351.28/77,096.81 = 77,096.81/x
  3. Step 3: Cross multiply
    36,351.28x = 77,096.81 × 77,096.81
  4. Step 4: Simplify right side
    36,351.28x = 5,943,918,497.66
  5. Step 5: Solve for x
    x = 5,943,918,497.66/36,351.28
  6. Step 6: Final answer
    x = 163,513.31

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.