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Finding the Third Proportional to 12,151.50 and 19,037.25

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Solution

The third proportional to 12,151.50 and 19,037.25 is: 29,824.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,151.50 : 19,037.25 = 19,037.25 : x
  2. Step 2: Convert to fraction form
    12,151.50/19,037.25 = 19,037.25/x
  3. Step 3: Cross multiply
    12,151.50x = 19,037.25 × 19,037.25
  4. Step 4: Simplify right side
    12,151.50x = 362,416,887.56
  5. Step 5: Solve for x
    x = 362,416,887.56/12,151.50
  6. Step 6: Final answer
    x = 29,824.87

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.