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Finding the Third Proportional to 24,350 and 32,997

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Solution

The third proportional to 24,350 and 32,997 is: 44,714.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,350 : 32,997 = 32,997 : x
  2. Step 2: Convert to fraction form
    24,350/32,997 = 32,997/x
  3. Step 3: Cross multiply
    24,350x = 32,997 × 32,997
  4. Step 4: Simplify right side
    24,350x = 1,088,802,009
  5. Step 5: Solve for x
    x = 1,088,802,009/24,350
  6. Step 6: Final answer
    x = 44,714.66

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.