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Finding the Third Proportional to 13,093.50 and 28,463.75

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Solution

The third proportional to 13,093.50 and 28,463.75 is: 61,876.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,093.50 : 28,463.75 = 28,463.75 : x
  2. Step 2: Convert to fraction form
    13,093.50/28,463.75 = 28,463.75/x
  3. Step 3: Cross multiply
    13,093.50x = 28,463.75 × 28,463.75
  4. Step 4: Simplify right side
    13,093.50x = 810,185,064.06
  5. Step 5: Solve for x
    x = 810,185,064.06/13,093.50
  6. Step 6: Final answer
    x = 61,876.89

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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.