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Finding the Third Proportional to 12,007 and 27,914

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Solution

The third proportional to 12,007 and 27,914 is: 64,894.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,007 : 27,914 = 27,914 : x
  2. Step 2: Convert to fraction form
    12,007/27,914 = 27,914/x
  3. Step 3: Cross multiply
    12,007x = 27,914 × 27,914
  4. Step 4: Simplify right side
    12,007x = 779,191,396
  5. Step 5: Solve for x
    x = 779,191,396/12,007
  6. Step 6: Final answer
    x = 64,894.76

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.