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Finding the Third Proportional to 35,770.50 and 77,697

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Solution

The third proportional to 35,770.50 and 77,697 is: 168,765.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,770.50 : 77,697 = 77,697 : x
  2. Step 2: Convert to fraction form
    35,770.50/77,697 = 77,697/x
  3. Step 3: Cross multiply
    35,770.50x = 77,697 × 77,697
  4. Step 4: Simplify right side
    35,770.50x = 6,036,823,809
  5. Step 5: Solve for x
    x = 6,036,823,809/35,770.50
  6. Step 6: Final answer
    x = 168,765.43

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