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Finding the Third Proportional to 22,107 and 33,807

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Solution

The third proportional to 22,107 and 33,807 is: 51,699.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,107 : 33,807 = 33,807 : x
  2. Step 2: Convert to fraction form
    22,107/33,807 = 33,807/x
  3. Step 3: Cross multiply
    22,107x = 33,807 × 33,807
  4. Step 4: Simplify right side
    22,107x = 1,142,913,249
  5. Step 5: Solve for x
    x = 1,142,913,249/22,107
  6. Step 6: Final answer
    x = 51,699.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.