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Finding the Third Proportional to 11,680.88 and 18,358.31

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Solution

The third proportional to 11,680.88 and 18,358.31 is: 28,852.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,680.88 : 18,358.31 = 18,358.31 : x
  2. Step 2: Convert to fraction form
    11,680.88/18,358.31 = 18,358.31/x
  3. Step 3: Cross multiply
    11,680.88x = 18,358.31 × 18,358.31
  4. Step 4: Simplify right side
    11,680.88x = 337,027,637.85
  5. Step 5: Solve for x
    x = 337,027,637.85/11,680.88
  6. Step 6: Final answer
    x = 28,852.94

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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.