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Finding the Third Proportional to 12,377.81 and 18,504.07

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Solution

The third proportional to 12,377.81 and 18,504.07 is: 27,662.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,377.81 : 18,504.07 = 18,504.07 : x
  2. Step 2: Convert to fraction form
    12,377.81/18,504.07 = 18,504.07/x
  3. Step 3: Cross multiply
    12,377.81x = 18,504.07 × 18,504.07
  4. Step 4: Simplify right side
    12,377.81x = 342,400,618.13
  5. Step 5: Solve for x
    x = 342,400,618.13/12,377.81
  6. Step 6: Final answer
    x = 27,662.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.