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Finding the Third Proportional to 21,603 and 51,523

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Solution

The third proportional to 21,603 and 51,523 is: 122,881.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,603 : 51,523 = 51,523 : x
  2. Step 2: Convert to fraction form
    21,603/51,523 = 51,523/x
  3. Step 3: Cross multiply
    21,603x = 51,523 × 51,523
  4. Step 4: Simplify right side
    21,603x = 2,654,619,529
  5. Step 5: Solve for x
    x = 2,654,619,529/21,603
  6. Step 6: Final answer
    x = 122,881.99

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.