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Finding the Third Proportional to 10,604.25 and 22,369.50

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Solution

The third proportional to 10,604.25 and 22,369.50 is: 47,188.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.25 : 22,369.50 = 22,369.50 : x
  2. Step 2: Convert to fraction form
    10,604.25/22,369.50 = 22,369.50/x
  3. Step 3: Cross multiply
    10,604.25x = 22,369.50 × 22,369.50
  4. Step 4: Simplify right side
    10,604.25x = 500,394,530.25
  5. Step 5: Solve for x
    x = 500,394,530.25/10,604.25
  6. Step 6: Final answer
    x = 47,188.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.