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Finding the Third Proportional to 37,742 and 56,699

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Solution

The third proportional to 37,742 and 56,699 is: 85,177.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,742 : 56,699 = 56,699 : x
  2. Step 2: Convert to fraction form
    37,742/56,699 = 56,699/x
  3. Step 3: Cross multiply
    37,742x = 56,699 × 56,699
  4. Step 4: Simplify right side
    37,742x = 3,214,776,601
  5. Step 5: Solve for x
    x = 3,214,776,601/37,742
  6. Step 6: Final answer
    x = 85,177.70

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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.