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Finding the Third Proportional to 8,059.88 and 12,328.31

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Solution

The third proportional to 8,059.88 and 12,328.31 is: 18,857.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,059.88 : 12,328.31 = 12,328.31 : x
  2. Step 2: Convert to fraction form
    8,059.88/12,328.31 = 12,328.31/x
  3. Step 3: Cross multiply
    8,059.88x = 12,328.31 × 12,328.31
  4. Step 4: Simplify right side
    8,059.88x = 151,987,289.10
  5. Step 5: Solve for x
    x = 151,987,289.10/8,059.88
  6. Step 6: Final answer
    x = 18,857.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.