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Finding the Third Proportional to 27,643 and 56,927

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Solution

The third proportional to 27,643 and 56,927 is: 117,233.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,643 : 56,927 = 56,927 : x
  2. Step 2: Convert to fraction form
    27,643/56,927 = 56,927/x
  3. Step 3: Cross multiply
    27,643x = 56,927 × 56,927
  4. Step 4: Simplify right side
    27,643x = 3,240,683,329
  5. Step 5: Solve for x
    x = 3,240,683,329/27,643
  6. Step 6: Final answer
    x = 117,233.42

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.