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Finding the Third Proportional to 29,594 and 39,997

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Solution

The third proportional to 29,594 and 39,997 is: 54,056.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,594 : 39,997 = 39,997 : x
  2. Step 2: Convert to fraction form
    29,594/39,997 = 39,997/x
  3. Step 3: Cross multiply
    29,594x = 39,997 × 39,997
  4. Step 4: Simplify right side
    29,594x = 1,599,760,009
  5. Step 5: Solve for x
    x = 1,599,760,009/29,594
  6. Step 6: Final answer
    x = 54,056.90

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.