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Finding the Third Proportional to 35,805 and 77,766

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Solution

The third proportional to 35,805 and 77,766 is: 168,902.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,805 : 77,766 = 77,766 : x
  2. Step 2: Convert to fraction form
    35,805/77,766 = 77,766/x
  3. Step 3: Cross multiply
    35,805x = 77,766 × 77,766
  4. Step 4: Simplify right side
    35,805x = 6,047,550,756
  5. Step 5: Solve for x
    x = 6,047,550,756/35,805
  6. Step 6: Final answer
    x = 168,902.41

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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.