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Finding the Third Proportional to 21,997 and 36,277

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Solution

The third proportional to 21,997 and 36,277 is: 59,827.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,997 : 36,277 = 36,277 : x
  2. Step 2: Convert to fraction form
    21,997/36,277 = 36,277/x
  3. Step 3: Cross multiply
    21,997x = 36,277 × 36,277
  4. Step 4: Simplify right side
    21,997x = 1,316,020,729
  5. Step 5: Solve for x
    x = 1,316,020,729/21,997
  6. Step 6: Final answer
    x = 59,827.28

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.