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Finding the Third Proportional to 7,881.19 and 11,881.41

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Solution

The third proportional to 7,881.19 and 11,881.41 is: 17,912.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.19 : 11,881.41 = 11,881.41 : x
  2. Step 2: Convert to fraction form
    7,881.19/11,881.41 = 11,881.41/x
  3. Step 3: Cross multiply
    7,881.19x = 11,881.41 × 11,881.41
  4. Step 4: Simplify right side
    7,881.19x = 141,167,814.48
  5. Step 5: Solve for x
    x = 141,167,814.48/7,881.19
  6. Step 6: Final answer
    x = 17,912.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.