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Finding the Third Proportional to 13,108.69 and 19,664.44

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Solution

The third proportional to 13,108.69 and 19,664.44 is: 29,498.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,108.69 : 19,664.44 = 19,664.44 : x
  2. Step 2: Convert to fraction form
    13,108.69/19,664.44 = 19,664.44/x
  3. Step 3: Cross multiply
    13,108.69x = 19,664.44 × 19,664.44
  4. Step 4: Simplify right side
    13,108.69x = 386,690,102.19
  5. Step 5: Solve for x
    x = 386,690,102.19/13,108.69
  6. Step 6: Final answer
    x = 29,498.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.