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Finding the Third Proportional to 1,887.56 and 4,018.69

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Solution

The third proportional to 1,887.56 and 4,018.69 is: 8,555.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.56 : 4,018.69 = 4,018.69 : x
  2. Step 2: Convert to fraction form
    1,887.56/4,018.69 = 4,018.69/x
  3. Step 3: Cross multiply
    1,887.56x = 4,018.69 × 4,018.69
  4. Step 4: Simplify right side
    1,887.56x = 16,149,849.22
  5. Step 5: Solve for x
    x = 16,149,849.22/1,887.56
  6. Step 6: Final answer
    x = 8,555.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.