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Finding the Third Proportional to 21,359 and 49,903

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Solution

The third proportional to 21,359 and 49,903 is: 116,592.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,359 : 49,903 = 49,903 : x
  2. Step 2: Convert to fraction form
    21,359/49,903 = 49,903/x
  3. Step 3: Cross multiply
    21,359x = 49,903 × 49,903
  4. Step 4: Simplify right side
    21,359x = 2,490,309,409
  5. Step 5: Solve for x
    x = 2,490,309,409/21,359
  6. Step 6: Final answer
    x = 116,592.98

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.