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Finding the Third Proportional to 40,309.31 and 87,522.19

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Solution

The third proportional to 40,309.31 and 87,522.19 is: 190,033.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,309.31 : 87,522.19 = 87,522.19 : x
  2. Step 2: Convert to fraction form
    40,309.31/87,522.19 = 87,522.19/x
  3. Step 3: Cross multiply
    40,309.31x = 87,522.19 × 87,522.19
  4. Step 4: Simplify right side
    40,309.31x = 7,660,133,304.79
  5. Step 5: Solve for x
    x = 7,660,133,304.79/40,309.31
  6. Step 6: Final answer
    x = 190,033.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.