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Finding the Third Proportional to 35,827.43 and 73,209.68

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Solution

The third proportional to 35,827.43 and 73,209.68 is: 149,596.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,827.43 : 73,209.68 = 73,209.68 : x
  2. Step 2: Convert to fraction form
    35,827.43/73,209.68 = 73,209.68/x
  3. Step 3: Cross multiply
    35,827.43x = 73,209.68 × 73,209.68
  4. Step 4: Simplify right side
    35,827.43x = 5,359,657,628.91
  5. Step 5: Solve for x
    x = 5,359,657,628.91/35,827.43
  6. Step 6: Final answer
    x = 149,596.48

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.