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Finding the Third Proportional to 27,927 and 58,959

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Solution

The third proportional to 27,927 and 58,959 is: 124,473.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,927 : 58,959 = 58,959 : x
  2. Step 2: Convert to fraction form
    27,927/58,959 = 58,959/x
  3. Step 3: Cross multiply
    27,927x = 58,959 × 58,959
  4. Step 4: Simplify right side
    27,927x = 3,476,163,681
  5. Step 5: Solve for x
    x = 3,476,163,681/27,927
  6. Step 6: Final answer
    x = 124,473.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.