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Finding the Third Proportional to 11,114 and 24,073

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Solution

The third proportional to 11,114 and 24,073 is: 52,142.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,114 : 24,073 = 24,073 : x
  2. Step 2: Convert to fraction form
    11,114/24,073 = 24,073/x
  3. Step 3: Cross multiply
    11,114x = 24,073 × 24,073
  4. Step 4: Simplify right side
    11,114x = 579,509,329
  5. Step 5: Solve for x
    x = 579,509,329/11,114
  6. Step 6: Final answer
    x = 52,142.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.