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Finding the Third Proportional to 32,974 and 77,806

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Solution

The third proportional to 32,974 and 77,806 is: 183,592.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,974 : 77,806 = 77,806 : x
  2. Step 2: Convert to fraction form
    32,974/77,806 = 77,806/x
  3. Step 3: Cross multiply
    32,974x = 77,806 × 77,806
  4. Step 4: Simplify right side
    32,974x = 6,053,773,636
  5. Step 5: Solve for x
    x = 6,053,773,636/32,974
  6. Step 6: Final answer
    x = 183,592.33

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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.