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Finding the Third Proportional to 10,997 and 25,061

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Solution

The third proportional to 10,997 and 25,061 is: 57,111.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997 : 25,061 = 25,061 : x
  2. Step 2: Convert to fraction form
    10,997/25,061 = 25,061/x
  3. Step 3: Cross multiply
    10,997x = 25,061 × 25,061
  4. Step 4: Simplify right side
    10,997x = 628,053,721
  5. Step 5: Solve for x
    x = 628,053,721/10,997
  6. Step 6: Final answer
    x = 57,111.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.