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Finding the Third Proportional to 34,092 and 50,024

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Solution

The third proportional to 34,092 and 50,024 is: 73,401.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,092 : 50,024 = 50,024 : x
  2. Step 2: Convert to fraction form
    34,092/50,024 = 50,024/x
  3. Step 3: Cross multiply
    34,092x = 50,024 × 50,024
  4. Step 4: Simplify right side
    34,092x = 2,502,400,576
  5. Step 5: Solve for x
    x = 2,502,400,576/34,092
  6. Step 6: Final answer
    x = 73,401.40

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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.