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Finding the Third Proportional to 10,037 and 15,019

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Solution

The third proportional to 10,037 and 15,019 is: 22,473.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,037 : 15,019 = 15,019 : x
  2. Step 2: Convert to fraction form
    10,037/15,019 = 15,019/x
  3. Step 3: Cross multiply
    10,037x = 15,019 × 15,019
  4. Step 4: Simplify right side
    10,037x = 225,570,361
  5. Step 5: Solve for x
    x = 225,570,361/10,037
  6. Step 6: Final answer
    x = 22,473.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.