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Finding the Third Proportional to 35,774 and 77,699

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Solution

The third proportional to 35,774 and 77,699 is: 168,757.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,774 : 77,699 = 77,699 : x
  2. Step 2: Convert to fraction form
    35,774/77,699 = 77,699/x
  3. Step 3: Cross multiply
    35,774x = 77,699 × 77,699
  4. Step 4: Simplify right side
    35,774x = 6,037,134,601
  5. Step 5: Solve for x
    x = 6,037,134,601/35,774
  6. Step 6: Final answer
    x = 168,757.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.