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Finding the Third Proportional to 13,144.38 and 28,474.63

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Solution

The third proportional to 13,144.38 and 28,474.63 is: 61,684.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,144.38 : 28,474.63 = 28,474.63 : x
  2. Step 2: Convert to fraction form
    13,144.38/28,474.63 = 28,474.63/x
  3. Step 3: Cross multiply
    13,144.38x = 28,474.63 × 28,474.63
  4. Step 4: Simplify right side
    13,144.38x = 810,804,268.89
  5. Step 5: Solve for x
    x = 810,804,268.89/13,144.38
  6. Step 6: Final answer
    x = 61,684.51

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.