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Finding the Third Proportional to 37,347 and 50,044.50

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Solution

The third proportional to 37,347 and 50,044.50 is: 67,058.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,347 : 50,044.50 = 50,044.50 : x
  2. Step 2: Convert to fraction form
    37,347/50,044.50 = 50,044.50/x
  3. Step 3: Cross multiply
    37,347x = 50,044.50 × 50,044.50
  4. Step 4: Simplify right side
    37,347x = 2,504,451,980.25
  5. Step 5: Solve for x
    x = 2,504,451,980.25/37,347
  6. Step 6: Final answer
    x = 67,058.99

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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.