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Finding the Third Proportional to 12,322.76 and 18,463.25

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Solution

The third proportional to 12,322.76 and 18,463.25 is: 27,663.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322.76 : 18,463.25 = 18,463.25 : x
  2. Step 2: Convert to fraction form
    12,322.76/18,463.25 = 18,463.25/x
  3. Step 3: Cross multiply
    12,322.76x = 18,463.25 × 18,463.25
  4. Step 4: Simplify right side
    12,322.76x = 340,891,744.81
  5. Step 5: Solve for x
    x = 340,891,744.81/12,322.76
  6. Step 6: Final answer
    x = 27,663.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.