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Finding the Third Proportional to 10,013 and 20,633.50

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Solution

The third proportional to 10,013 and 20,633.50 is: 42,518.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,013 : 20,633.50 = 20,633.50 : x
  2. Step 2: Convert to fraction form
    10,013/20,633.50 = 20,633.50/x
  3. Step 3: Cross multiply
    10,013x = 20,633.50 × 20,633.50
  4. Step 4: Simplify right side
    10,013x = 425,741,322.25
  5. Step 5: Solve for x
    x = 425,741,322.25/10,013
  6. Step 6: Final answer
    x = 42,518.86

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.