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Finding the Third Proportional to 34,074 and 49,997

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Solution

The third proportional to 34,074 and 49,997 is: 73,360.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,074 : 49,997 = 49,997 : x
  2. Step 2: Convert to fraction form
    34,074/49,997 = 49,997/x
  3. Step 3: Cross multiply
    34,074x = 49,997 × 49,997
  4. Step 4: Simplify right side
    34,074x = 2,499,700,009
  5. Step 5: Solve for x
    x = 2,499,700,009/34,074
  6. Step 6: Final answer
    x = 73,360.92

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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.