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Finding the Third Proportional to 17,723.81 and 38,728.13

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Solution

The third proportional to 17,723.81 and 38,728.13 is: 84,624.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,723.81 : 38,728.13 = 38,728.13 : x
  2. Step 2: Convert to fraction form
    17,723.81/38,728.13 = 38,728.13/x
  3. Step 3: Cross multiply
    17,723.81x = 38,728.13 × 38,728.13
  4. Step 4: Simplify right side
    17,723.81x = 1,499,867,666.02
  5. Step 5: Solve for x
    x = 1,499,867,666.02/17,723.81
  6. Step 6: Final answer
    x = 84,624.44

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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.