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Finding the Third Proportional to 37,052 and 50,340

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Solution

The third proportional to 37,052 and 50,340 is: 68,393.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,052 : 50,340 = 50,340 : x
  2. Step 2: Convert to fraction form
    37,052/50,340 = 50,340/x
  3. Step 3: Cross multiply
    37,052x = 50,340 × 50,340
  4. Step 4: Simplify right side
    37,052x = 2,534,115,600
  5. Step 5: Solve for x
    x = 2,534,115,600/37,052
  6. Step 6: Final answer
    x = 68,393.49

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.