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Finding the Third Proportional to 35,508 and 77,697.75

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Solution

The third proportional to 35,508 and 77,697.75 is: 170,016.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,508 : 77,697.75 = 77,697.75 : x
  2. Step 2: Convert to fraction form
    35,508/77,697.75 = 77,697.75/x
  3. Step 3: Cross multiply
    35,508x = 77,697.75 × 77,697.75
  4. Step 4: Simplify right side
    35,508x = 6,036,940,355.06
  5. Step 5: Solve for x
    x = 6,036,940,355.06/35,508
  6. Step 6: Final answer
    x = 170,016.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.