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Finding the Third Proportional to 10,038 and 20,682.75

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Solution

The third proportional to 10,038 and 20,682.75 is: 42,615.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038 : 20,682.75 = 20,682.75 : x
  2. Step 2: Convert to fraction form
    10,038/20,682.75 = 20,682.75/x
  3. Step 3: Cross multiply
    10,038x = 20,682.75 × 20,682.75
  4. Step 4: Simplify right side
    10,038x = 427,776,147.56
  5. Step 5: Solve for x
    x = 427,776,147.56/10,038
  6. Step 6: Final answer
    x = 42,615.68

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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.