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Finding the Third Proportional to 33,719.91 and 73,864.13

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Solution

The third proportional to 33,719.91 and 73,864.13 is: 161,800.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,719.91 : 73,864.13 = 73,864.13 : x
  2. Step 2: Convert to fraction form
    33,719.91/73,864.13 = 73,864.13/x
  3. Step 3: Cross multiply
    33,719.91x = 73,864.13 × 73,864.13
  4. Step 4: Simplify right side
    33,719.91x = 5,455,908,962.02
  5. Step 5: Solve for x
    x = 5,455,908,962.02/33,719.91
  6. Step 6: Final answer
    x = 161,800.83

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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.