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Finding the Third Proportional to 13,292 and 19,997

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Solution

The third proportional to 13,292 and 19,997 is: 30,084.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,292 : 19,997 = 19,997 : x
  2. Step 2: Convert to fraction form
    13,292/19,997 = 19,997/x
  3. Step 3: Cross multiply
    13,292x = 19,997 × 19,997
  4. Step 4: Simplify right side
    13,292x = 399,880,009
  5. Step 5: Solve for x
    x = 399,880,009/13,292
  6. Step 6: Final answer
    x = 30,084.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.