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Finding the Third Proportional to 37,699 and 56,634

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Solution

The third proportional to 37,699 and 56,634 is: 85,079.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,699 : 56,634 = 56,634 : x
  2. Step 2: Convert to fraction form
    37,699/56,634 = 56,634/x
  3. Step 3: Cross multiply
    37,699x = 56,634 × 56,634
  4. Step 4: Simplify right side
    37,699x = 3,207,409,956
  5. Step 5: Solve for x
    x = 3,207,409,956/37,699
  6. Step 6: Final answer
    x = 85,079.44

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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.