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Finding the Third Proportional to 13,161 and 19,050.50

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Solution

The third proportional to 13,161 and 19,050.50 is: 27,575.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,161 : 19,050.50 = 19,050.50 : x
  2. Step 2: Convert to fraction form
    13,161/19,050.50 = 19,050.50/x
  3. Step 3: Cross multiply
    13,161x = 19,050.50 × 19,050.50
  4. Step 4: Simplify right side
    13,161x = 362,921,550.25
  5. Step 5: Solve for x
    x = 362,921,550.25/13,161
  6. Step 6: Final answer
    x = 27,575.53

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.