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Finding the Third Proportional to 21,924 and 47,538

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Solution

The third proportional to 21,924 and 47,538 is: 103,077.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,924 : 47,538 = 47,538 : x
  2. Step 2: Convert to fraction form
    21,924/47,538 = 47,538/x
  3. Step 3: Cross multiply
    21,924x = 47,538 × 47,538
  4. Step 4: Simplify right side
    21,924x = 2,259,861,444
  5. Step 5: Solve for x
    x = 2,259,861,444/21,924
  6. Step 6: Final answer
    x = 103,077.06

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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.