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Finding the Third Proportional to 20,574 and 33,277.50

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Solution

The third proportional to 20,574 and 33,277.50 is: 53,824.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,574 : 33,277.50 = 33,277.50 : x
  2. Step 2: Convert to fraction form
    20,574/33,277.50 = 33,277.50/x
  3. Step 3: Cross multiply
    20,574x = 33,277.50 × 33,277.50
  4. Step 4: Simplify right side
    20,574x = 1,107,392,006.25
  5. Step 5: Solve for x
    x = 1,107,392,006.25/20,574
  6. Step 6: Final answer
    x = 53,824.83

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.