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Finding the Third Proportional to 34,056 and 50,004

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Solution

The third proportional to 34,056 and 50,004 is: 73,420.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,056 : 50,004 = 50,004 : x
  2. Step 2: Convert to fraction form
    34,056/50,004 = 50,004/x
  3. Step 3: Cross multiply
    34,056x = 50,004 × 50,004
  4. Step 4: Simplify right side
    34,056x = 2,500,400,016
  5. Step 5: Solve for x
    x = 2,500,400,016/34,056
  6. Step 6: Final answer
    x = 73,420.25

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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.