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Finding the Third Proportional to 32,926 and 77,694

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Solution

The third proportional to 32,926 and 77,694 is: 183,331.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,926 : 77,694 = 77,694 : x
  2. Step 2: Convert to fraction form
    32,926/77,694 = 77,694/x
  3. Step 3: Cross multiply
    32,926x = 77,694 × 77,694
  4. Step 4: Simplify right side
    32,926x = 6,036,357,636
  5. Step 5: Solve for x
    x = 6,036,357,636/32,926
  6. Step 6: Final answer
    x = 183,331.03

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.