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Finding the Third Proportional to 27,678 and 42,929

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Solution

The third proportional to 27,678 and 42,929 is: 66,583.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,678 : 42,929 = 42,929 : x
  2. Step 2: Convert to fraction form
    27,678/42,929 = 42,929/x
  3. Step 3: Cross multiply
    27,678x = 42,929 × 42,929
  4. Step 4: Simplify right side
    27,678x = 1,842,899,041
  5. Step 5: Solve for x
    x = 1,842,899,041/27,678
  6. Step 6: Final answer
    x = 66,583.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.