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Finding the Third Proportional to 13,063 and 28,629.50

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Solution

The third proportional to 13,063 and 28,629.50 is: 62,745.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,063 : 28,629.50 = 28,629.50 : x
  2. Step 2: Convert to fraction form
    13,063/28,629.50 = 28,629.50/x
  3. Step 3: Cross multiply
    13,063x = 28,629.50 × 28,629.50
  4. Step 4: Simplify right side
    13,063x = 819,648,270.25
  5. Step 5: Solve for x
    x = 819,648,270.25/13,063
  6. Step 6: Final answer
    x = 62,745.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.