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Finding the Third Proportional to 11,314 and 24,842

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Solution

The third proportional to 11,314 and 24,842 is: 54,545.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314 : 24,842 = 24,842 : x
  2. Step 2: Convert to fraction form
    11,314/24,842 = 24,842/x
  3. Step 3: Cross multiply
    11,314x = 24,842 × 24,842
  4. Step 4: Simplify right side
    11,314x = 617,124,964
  5. Step 5: Solve for x
    x = 617,124,964/11,314
  6. Step 6: Final answer
    x = 54,545.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.