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Finding the Third Proportional to 13,285.69 and 20,843.16

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Solution

The third proportional to 13,285.69 and 20,843.16 is: 32,699.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,285.69 : 20,843.16 = 20,843.16 : x
  2. Step 2: Convert to fraction form
    13,285.69/20,843.16 = 20,843.16/x
  3. Step 3: Cross multiply
    13,285.69x = 20,843.16 × 20,843.16
  4. Step 4: Simplify right side
    13,285.69x = 434,437,162.46
  5. Step 5: Solve for x
    x = 434,437,162.46/13,285.69
  6. Step 6: Final answer
    x = 32,699.64

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.