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Finding the Third Proportional to 35,046.84 and 74,682.84

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Solution

The third proportional to 35,046.84 and 74,682.84 is: 159,144.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,046.84 : 74,682.84 = 74,682.84 : x
  2. Step 2: Convert to fraction form
    35,046.84/74,682.84 = 74,682.84/x
  3. Step 3: Cross multiply
    35,046.84x = 74,682.84 × 74,682.84
  4. Step 4: Simplify right side
    35,046.84x = 5,577,527,150.59
  5. Step 5: Solve for x
    x = 5,577,527,150.59/35,046.84
  6. Step 6: Final answer
    x = 159,144.92

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.