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Finding the Third Proportional to 13,405.50 and 28,591.31

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Solution

The third proportional to 13,405.50 and 28,591.31 is: 60,979.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405.50 : 28,591.31 = 28,591.31 : x
  2. Step 2: Convert to fraction form
    13,405.50/28,591.31 = 28,591.31/x
  3. Step 3: Cross multiply
    13,405.50x = 28,591.31 × 28,591.31
  4. Step 4: Simplify right side
    13,405.50x = 817,463,150.47
  5. Step 5: Solve for x
    x = 817,463,150.47/13,405.50
  6. Step 6: Final answer
    x = 60,979.68

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.