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Finding the Third Proportional to 35,934.25 and 76,794.25

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Solution

The third proportional to 35,934.25 and 76,794.25 is: 164,115.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,934.25 : 76,794.25 = 76,794.25 : x
  2. Step 2: Convert to fraction form
    35,934.25/76,794.25 = 76,794.25/x
  3. Step 3: Cross multiply
    35,934.25x = 76,794.25 × 76,794.25
  4. Step 4: Simplify right side
    35,934.25x = 5,897,356,833.06
  5. Step 5: Solve for x
    x = 5,897,356,833.06/35,934.25
  6. Step 6: Final answer
    x = 164,115.21

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.