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Finding the Third Proportional to 34,926 and 77,586

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Solution

The third proportional to 34,926 and 77,586 is: 172,352.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,926 : 77,586 = 77,586 : x
  2. Step 2: Convert to fraction form
    34,926/77,586 = 77,586/x
  3. Step 3: Cross multiply
    34,926x = 77,586 × 77,586
  4. Step 4: Simplify right side
    34,926x = 6,019,587,396
  5. Step 5: Solve for x
    x = 6,019,587,396/34,926
  6. Step 6: Final answer
    x = 172,352.61

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.