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Finding the Third Proportional to 18,700.56 and 27,986.77

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Solution

The third proportional to 18,700.56 and 27,986.77 is: 41,884.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,700.56 : 27,986.77 = 27,986.77 : x
  2. Step 2: Convert to fraction form
    18,700.56/27,986.77 = 27,986.77/x
  3. Step 3: Cross multiply
    18,700.56x = 27,986.77 × 27,986.77
  4. Step 4: Simplify right side
    18,700.56x = 783,259,050.15
  5. Step 5: Solve for x
    x = 783,259,050.15/18,700.56
  6. Step 6: Final answer
    x = 41,884.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.