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Finding the Third Proportional to 29,997 and 64,611

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Solution

The third proportional to 29,997 and 64,611 is: 139,166.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,997 : 64,611 = 64,611 : x
  2. Step 2: Convert to fraction form
    29,997/64,611 = 64,611/x
  3. Step 3: Cross multiply
    29,997x = 64,611 × 64,611
  4. Step 4: Simplify right side
    29,997x = 4,174,581,321
  5. Step 5: Solve for x
    x = 4,174,581,321/29,997
  6. Step 6: Final answer
    x = 139,166.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.