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Finding the Third Proportional to 5,108.34 and 10,909.41

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Solution

The third proportional to 5,108.34 and 10,909.41 is: 23,298.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108.34 : 10,909.41 = 10,909.41 : x
  2. Step 2: Convert to fraction form
    5,108.34/10,909.41 = 10,909.41/x
  3. Step 3: Cross multiply
    5,108.34x = 10,909.41 × 10,909.41
  4. Step 4: Simplify right side
    5,108.34x = 119,015,144.73
  5. Step 5: Solve for x
    x = 119,015,144.73/5,108.34
  6. Step 6: Final answer
    x = 23,298.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.