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Finding the Third Proportional to 13,150.50 and 19,862.25

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Solution

The third proportional to 13,150.50 and 19,862.25 is: 29,999.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,150.50 : 19,862.25 = 19,862.25 : x
  2. Step 2: Convert to fraction form
    13,150.50/19,862.25 = 19,862.25/x
  3. Step 3: Cross multiply
    13,150.50x = 19,862.25 × 19,862.25
  4. Step 4: Simplify right side
    13,150.50x = 394,508,975.06
  5. Step 5: Solve for x
    x = 394,508,975.06/13,150.50
  6. Step 6: Final answer
    x = 29,999.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.