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Finding the Third Proportional to 10,033 and 15,049

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Solution

The third proportional to 10,033 and 15,049 is: 22,572.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033 : 15,049 = 15,049 : x
  2. Step 2: Convert to fraction form
    10,033/15,049 = 15,049/x
  3. Step 3: Cross multiply
    10,033x = 15,049 × 15,049
  4. Step 4: Simplify right side
    10,033x = 226,472,401
  5. Step 5: Solve for x
    x = 226,472,401/10,033
  6. Step 6: Final answer
    x = 22,572.75

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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.