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Finding the Third Proportional to 20,210.77 and 31,022.37

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Solution

The third proportional to 20,210.77 and 31,022.37 is: 47,617.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,210.77 : 31,022.37 = 31,022.37 : x
  2. Step 2: Convert to fraction form
    20,210.77/31,022.37 = 31,022.37/x
  3. Step 3: Cross multiply
    20,210.77x = 31,022.37 × 31,022.37
  4. Step 4: Simplify right side
    20,210.77x = 962,387,265.92
  5. Step 5: Solve for x
    x = 962,387,265.92/20,210.77
  6. Step 6: Final answer
    x = 47,617.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.