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Finding the Third Proportional to 35,002.97 and 76,809.94

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Solution

The third proportional to 35,002.97 and 76,809.94 is: 168,550.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,002.97 : 76,809.94 = 76,809.94 : x
  2. Step 2: Convert to fraction form
    35,002.97/76,809.94 = 76,809.94/x
  3. Step 3: Cross multiply
    35,002.97x = 76,809.94 × 76,809.94
  4. Step 4: Simplify right side
    35,002.97x = 5,899,766,498.75
  5. Step 5: Solve for x
    x = 5,899,766,498.75/35,002.97
  6. Step 6: Final answer
    x = 168,550.46

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