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Finding the Third Proportional to 10,037.67 and 21,754.83

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Solution

The third proportional to 10,037.67 and 21,754.83 is: 47,149.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,037.67 : 21,754.83 = 21,754.83 : x
  2. Step 2: Convert to fraction form
    10,037.67/21,754.83 = 21,754.83/x
  3. Step 3: Cross multiply
    10,037.67x = 21,754.83 × 21,754.83
  4. Step 4: Simplify right side
    10,037.67x = 473,272,546.75
  5. Step 5: Solve for x
    x = 473,272,546.75/10,037.67
  6. Step 6: Final answer
    x = 47,149.63

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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.