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Finding the Third Proportional to 49,637 and 72,997

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Solution

The third proportional to 49,637 and 72,997 is: 107,350.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,637 : 72,997 = 72,997 : x
  2. Step 2: Convert to fraction form
    49,637/72,997 = 72,997/x
  3. Step 3: Cross multiply
    49,637x = 72,997 × 72,997
  4. Step 4: Simplify right side
    49,637x = 5,328,562,009
  5. Step 5: Solve for x
    x = 5,328,562,009/49,637
  6. Step 6: Final answer
    x = 107,350.61

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.