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Finding the Third Proportional to 37,090.13 and 82,472.63

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Solution

The third proportional to 37,090.13 and 82,472.63 is: 183,383.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,090.13 : 82,472.63 = 82,472.63 : x
  2. Step 2: Convert to fraction form
    37,090.13/82,472.63 = 82,472.63/x
  3. Step 3: Cross multiply
    37,090.13x = 82,472.63 × 82,472.63
  4. Step 4: Simplify right side
    37,090.13x = 6,801,733,874.39
  5. Step 5: Solve for x
    x = 6,801,733,874.39/37,090.13
  6. Step 6: Final answer
    x = 183,383.96

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.