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Finding the Third Proportional to 10,109.25 and 20,724.75

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Solution

The third proportional to 10,109.25 and 20,724.75 is: 42,487.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,109.25 : 20,724.75 = 20,724.75 : x
  2. Step 2: Convert to fraction form
    10,109.25/20,724.75 = 20,724.75/x
  3. Step 3: Cross multiply
    10,109.25x = 20,724.75 × 20,724.75
  4. Step 4: Simplify right side
    10,109.25x = 429,515,262.56
  5. Step 5: Solve for x
    x = 429,515,262.56/10,109.25
  6. Step 6: Final answer
    x = 42,487.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.