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Finding the Third Proportional to 37,349 and 50,047

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Solution

The third proportional to 37,349 and 50,047 is: 67,062.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,349 : 50,047 = 50,047 : x
  2. Step 2: Convert to fraction form
    37,349/50,047 = 50,047/x
  3. Step 3: Cross multiply
    37,349x = 50,047 × 50,047
  4. Step 4: Simplify right side
    37,349x = 2,504,702,209
  5. Step 5: Solve for x
    x = 2,504,702,209/37,349
  6. Step 6: Final answer
    x = 67,062.10

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.