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Finding the Third Proportional to 27,329 and 36,929

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Solution

The third proportional to 27,329 and 36,929 is: 49,901.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,329 : 36,929 = 36,929 : x
  2. Step 2: Convert to fraction form
    27,329/36,929 = 36,929/x
  3. Step 3: Cross multiply
    27,329x = 36,929 × 36,929
  4. Step 4: Simplify right side
    27,329x = 1,363,751,041
  5. Step 5: Solve for x
    x = 1,363,751,041/27,329
  6. Step 6: Final answer
    x = 49,901.24

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.