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Finding the Third Proportional to 20,007 and 31,423.50

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Solution

The third proportional to 20,007 and 31,423.50 is: 49,354.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,007 : 31,423.50 = 31,423.50 : x
  2. Step 2: Convert to fraction form
    20,007/31,423.50 = 31,423.50/x
  3. Step 3: Cross multiply
    20,007x = 31,423.50 × 31,423.50
  4. Step 4: Simplify right side
    20,007x = 987,436,352.25
  5. Step 5: Solve for x
    x = 987,436,352.25/20,007
  6. Step 6: Final answer
    x = 49,354.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.