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Finding the Third Proportional to 21,927 and 47,361

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Solution

The third proportional to 21,927 and 47,361 is: 102,296.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,927 : 47,361 = 47,361 : x
  2. Step 2: Convert to fraction form
    21,927/47,361 = 47,361/x
  3. Step 3: Cross multiply
    21,927x = 47,361 × 47,361
  4. Step 4: Simplify right side
    21,927x = 2,243,064,321
  5. Step 5: Solve for x
    x = 2,243,064,321/21,927
  6. Step 6: Final answer
    x = 102,296.91

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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.