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Finding the Third Proportional to 8,940.38 and 13,066.31

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Solution

The third proportional to 8,940.38 and 13,066.31 is: 19,096.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,940.38 : 13,066.31 = 13,066.31 : x
  2. Step 2: Convert to fraction form
    8,940.38/13,066.31 = 13,066.31/x
  3. Step 3: Cross multiply
    8,940.38x = 13,066.31 × 13,066.31
  4. Step 4: Simplify right side
    8,940.38x = 170,728,522.35
  5. Step 5: Solve for x
    x = 170,728,522.35/8,940.38
  6. Step 6: Final answer
    x = 19,096.35

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.