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Finding the Third Proportional to 11,033 and 24,049

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Solution

The third proportional to 11,033 and 24,049 is: 52,420.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,033 : 24,049 = 24,049 : x
  2. Step 2: Convert to fraction form
    11,033/24,049 = 24,049/x
  3. Step 3: Cross multiply
    11,033x = 24,049 × 24,049
  4. Step 4: Simplify right side
    11,033x = 578,354,401
  5. Step 5: Solve for x
    x = 578,354,401/11,033
  6. Step 6: Final answer
    x = 52,420.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.