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Finding the Third Proportional to 40,034.25 and 92,669.63

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Solution

The third proportional to 40,034.25 and 92,669.63 is: 214,507.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,034.25 : 92,669.63 = 92,669.63 : x
  2. Step 2: Convert to fraction form
    40,034.25/92,669.63 = 92,669.63/x
  3. Step 3: Cross multiply
    40,034.25x = 92,669.63 × 92,669.63
  4. Step 4: Simplify right side
    40,034.25x = 8,587,659,397.64
  5. Step 5: Solve for x
    x = 8,587,659,397.64/40,034.25
  6. Step 6: Final answer
    x = 214,507.81

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.