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Finding the Third Proportional to 37,751 and 56,721

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Solution

The third proportional to 37,751 and 56,721 is: 85,223.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,751 : 56,721 = 56,721 : x
  2. Step 2: Convert to fraction form
    37,751/56,721 = 56,721/x
  3. Step 3: Cross multiply
    37,751x = 56,721 × 56,721
  4. Step 4: Simplify right side
    37,751x = 3,217,271,841
  5. Step 5: Solve for x
    x = 3,217,271,841/37,751
  6. Step 6: Final answer
    x = 85,223.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.