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Finding the Third Proportional to 23,997 and 56,061

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Solution

The third proportional to 23,997 and 56,061 is: 130,967.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,997 : 56,061 = 56,061 : x
  2. Step 2: Convert to fraction form
    23,997/56,061 = 56,061/x
  3. Step 3: Cross multiply
    23,997x = 56,061 × 56,061
  4. Step 4: Simplify right side
    23,997x = 3,142,835,721
  5. Step 5: Solve for x
    x = 3,142,835,721/23,997
  6. Step 6: Final answer
    x = 130,967.86

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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.