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Finding the Third Proportional to 10,037.25 and 20,682

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Solution

The third proportional to 10,037.25 and 20,682 is: 42,615.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,037.25 : 20,682 = 20,682 : x
  2. Step 2: Convert to fraction form
    10,037.25/20,682 = 20,682/x
  3. Step 3: Cross multiply
    10,037.25x = 20,682 × 20,682
  4. Step 4: Simplify right side
    10,037.25x = 427,745,124
  5. Step 5: Solve for x
    x = 427,745,124/10,037.25
  6. Step 6: Final answer
    x = 42,615.77

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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.