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Finding the Third Proportional to 11,114 and 23,804

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Solution

The third proportional to 11,114 and 23,804 is: 50,983.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,114 : 23,804 = 23,804 : x
  2. Step 2: Convert to fraction form
    11,114/23,804 = 23,804/x
  3. Step 3: Cross multiply
    11,114x = 23,804 × 23,804
  4. Step 4: Simplify right side
    11,114x = 566,630,416
  5. Step 5: Solve for x
    x = 566,630,416/11,114
  6. Step 6: Final answer
    x = 50,983.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.