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Finding the Third Proportional to 12,150.50 and 19,035.75

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Solution

The third proportional to 12,150.50 and 19,035.75 is: 29,822.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,150.50 : 19,035.75 = 19,035.75 : x
  2. Step 2: Convert to fraction form
    12,150.50/19,035.75 = 19,035.75/x
  3. Step 3: Cross multiply
    12,150.50x = 19,035.75 × 19,035.75
  4. Step 4: Simplify right side
    12,150.50x = 362,359,778.06
  5. Step 5: Solve for x
    x = 362,359,778.06/12,150.50
  6. Step 6: Final answer
    x = 29,822.62

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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.