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Finding the Third Proportional to 1,887.75 and 4,089.75

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Solution

The third proportional to 1,887.75 and 4,089.75 is: 8,860.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.75 : 4,089.75 = 4,089.75 : x
  2. Step 2: Convert to fraction form
    1,887.75/4,089.75 = 4,089.75/x
  3. Step 3: Cross multiply
    1,887.75x = 4,089.75 × 4,089.75
  4. Step 4: Simplify right side
    1,887.75x = 16,726,055.06
  5. Step 5: Solve for x
    x = 16,726,055.06/1,887.75
  6. Step 6: Final answer
    x = 8,860.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.