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Finding the Third Proportional to 40,694.06 and 84,506.63

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Solution

The third proportional to 40,694.06 and 84,506.63 is: 175,489.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,694.06 : 84,506.63 = 84,506.63 : x
  2. Step 2: Convert to fraction form
    40,694.06/84,506.63 = 84,506.63/x
  3. Step 3: Cross multiply
    40,694.06x = 84,506.63 × 84,506.63
  4. Step 4: Simplify right side
    40,694.06x = 7,141,369,668.89
  5. Step 5: Solve for x
    x = 7,141,369,668.89/40,694.06
  6. Step 6: Final answer
    x = 175,489.23

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.