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Finding the Third Proportional to 11,671.88 and 17,777.81

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Solution

The third proportional to 11,671.88 and 17,777.81 is: 27,077.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,671.88 : 17,777.81 = 17,777.81 : x
  2. Step 2: Convert to fraction form
    11,671.88/17,777.81 = 17,777.81/x
  3. Step 3: Cross multiply
    11,671.88x = 17,777.81 × 17,777.81
  4. Step 4: Simplify right side
    11,671.88x = 316,050,617.29
  5. Step 5: Solve for x
    x = 316,050,617.29/11,671.88
  6. Step 6: Final answer
    x = 27,077.96

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.