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Finding the Third Proportional to 27,329 and 58,963

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Solution

The third proportional to 27,329 and 58,963 is: 127,214.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,329 : 58,963 = 58,963 : x
  2. Step 2: Convert to fraction form
    27,329/58,963 = 58,963/x
  3. Step 3: Cross multiply
    27,329x = 58,963 × 58,963
  4. Step 4: Simplify right side
    27,329x = 3,476,635,369
  5. Step 5: Solve for x
    x = 3,476,635,369/27,329
  6. Step 6: Final answer
    x = 127,214.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.