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Finding the Third Proportional to 8,997 and 21,013

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Solution

The third proportional to 8,997 and 21,013 is: 49,077.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,997 : 21,013 = 21,013 : x
  2. Step 2: Convert to fraction form
    8,997/21,013 = 21,013/x
  3. Step 3: Cross multiply
    8,997x = 21,013 × 21,013
  4. Step 4: Simplify right side
    8,997x = 441,546,169
  5. Step 5: Solve for x
    x = 441,546,169/8,997
  6. Step 6: Final answer
    x = 49,077.04

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1.5x scale

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.