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Finding the Third Proportional to 20,636 and 31,004.50

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Solution

The third proportional to 20,636 and 31,004.50 is: 46,582.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,636 : 31,004.50 = 31,004.50 : x
  2. Step 2: Convert to fraction form
    20,636/31,004.50 = 31,004.50/x
  3. Step 3: Cross multiply
    20,636x = 31,004.50 × 31,004.50
  4. Step 4: Simplify right side
    20,636x = 961,279,020.25
  5. Step 5: Solve for x
    x = 961,279,020.25/20,636
  6. Step 6: Final answer
    x = 46,582.62

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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.