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Finding the Third Proportional to 36,800.63 and 81,927.38

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Solution

The third proportional to 36,800.63 and 81,927.38 is: 182,390.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,800.63 : 81,927.38 = 81,927.38 : x
  2. Step 2: Convert to fraction form
    36,800.63/81,927.38 = 81,927.38/x
  3. Step 3: Cross multiply
    36,800.63x = 81,927.38 × 81,927.38
  4. Step 4: Simplify right side
    36,800.63x = 6,712,094,774.39
  5. Step 5: Solve for x
    x = 6,712,094,774.39/36,800.63
  6. Step 6: Final answer
    x = 182,390.78

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.