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Finding the Third Proportional to 15,997.50 and 21,404.25

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Solution

The third proportional to 15,997.50 and 21,404.25 is: 28,638.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,997.50 : 21,404.25 = 21,404.25 : x
  2. Step 2: Convert to fraction form
    15,997.50/21,404.25 = 21,404.25/x
  3. Step 3: Cross multiply
    15,997.50x = 21,404.25 × 21,404.25
  4. Step 4: Simplify right side
    15,997.50x = 458,141,918.06
  5. Step 5: Solve for x
    x = 458,141,918.06/15,997.50
  6. Step 6: Final answer
    x = 28,638.34

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.