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Finding the Third Proportional to 11,977.88 and 17,151.75

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Solution

The third proportional to 11,977.88 and 17,151.75 is: 24,560.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,977.88 : 17,151.75 = 17,151.75 : x
  2. Step 2: Convert to fraction form
    11,977.88/17,151.75 = 17,151.75/x
  3. Step 3: Cross multiply
    11,977.88x = 17,151.75 × 17,151.75
  4. Step 4: Simplify right side
    11,977.88x = 294,182,528.06
  5. Step 5: Solve for x
    x = 294,182,528.06/11,977.88
  6. Step 6: Final answer
    x = 24,560.49

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.