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Finding the Third Proportional to 21,946 and 47,586

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Solution

The third proportional to 21,946 and 47,586 is: 103,181.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,946 : 47,586 = 47,586 : x
  2. Step 2: Convert to fraction form
    21,946/47,586 = 47,586/x
  3. Step 3: Cross multiply
    21,946x = 47,586 × 47,586
  4. Step 4: Simplify right side
    21,946x = 2,264,427,396
  5. Step 5: Solve for x
    x = 2,264,427,396/21,946
  6. Step 6: Final answer
    x = 103,181.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.