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Finding the Third Proportional to 11,780.50 and 25,606

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Solution

The third proportional to 11,780.50 and 25,606 is: 55,657.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.50 : 25,606 = 25,606 : x
  2. Step 2: Convert to fraction form
    11,780.50/25,606 = 25,606/x
  3. Step 3: Cross multiply
    11,780.50x = 25,606 × 25,606
  4. Step 4: Simplify right side
    11,780.50x = 655,667,236
  5. Step 5: Solve for x
    x = 655,667,236/11,780.50
  6. Step 6: Final answer
    x = 55,657.00

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.