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Finding the Third Proportional to 17,832.38 and 37,841.63

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Solution

The third proportional to 17,832.38 and 37,841.63 is: 80,302.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,832.38 : 37,841.63 = 37,841.63 : x
  2. Step 2: Convert to fraction form
    17,832.38/37,841.63 = 37,841.63/x
  3. Step 3: Cross multiply
    17,832.38x = 37,841.63 × 37,841.63
  4. Step 4: Simplify right side
    17,832.38x = 1,431,988,582.64
  5. Step 5: Solve for x
    x = 1,431,988,582.64/17,832.38
  6. Step 6: Final answer
    x = 80,302.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.