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Finding the Third Proportional to 7,723.69 and 18,047.81

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Solution

The third proportional to 7,723.69 and 18,047.81 is: 42,172.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,723.69 : 18,047.81 = 18,047.81 : x
  2. Step 2: Convert to fraction form
    7,723.69/18,047.81 = 18,047.81/x
  3. Step 3: Cross multiply
    7,723.69x = 18,047.81 × 18,047.81
  4. Step 4: Simplify right side
    7,723.69x = 325,723,536.04
  5. Step 5: Solve for x
    x = 325,723,536.04/7,723.69
  6. Step 6: Final answer
    x = 42,172.02

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.