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Finding the Third Proportional to 35,305.25 and 77,607.25

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Solution

The third proportional to 35,305.25 and 77,607.25 is: 170,594.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,305.25 : 77,607.25 = 77,607.25 : x
  2. Step 2: Convert to fraction form
    35,305.25/77,607.25 = 77,607.25/x
  3. Step 3: Cross multiply
    35,305.25x = 77,607.25 × 77,607.25
  4. Step 4: Simplify right side
    35,305.25x = 6,022,885,252.56
  5. Step 5: Solve for x
    x = 6,022,885,252.56/35,305.25
  6. Step 6: Final answer
    x = 170,594.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.