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Finding the Third Proportional to 8,027.23 and 12,783.87

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Solution

The third proportional to 8,027.23 and 12,783.87 is: 20,359.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,027.23 : 12,783.87 = 12,783.87 : x
  2. Step 2: Convert to fraction form
    8,027.23/12,783.87 = 12,783.87/x
  3. Step 3: Cross multiply
    8,027.23x = 12,783.87 × 12,783.87
  4. Step 4: Simplify right side
    8,027.23x = 163,427,260.27
  5. Step 5: Solve for x
    x = 163,427,260.27/8,027.23
  6. Step 6: Final answer
    x = 20,359.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.