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Finding the Third Proportional to 1,858.88 and 4,059.75

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Solution

The third proportional to 1,858.88 and 4,059.75 is: 8,866.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.88 : 4,059.75 = 4,059.75 : x
  2. Step 2: Convert to fraction form
    1,858.88/4,059.75 = 4,059.75/x
  3. Step 3: Cross multiply
    1,858.88x = 4,059.75 × 4,059.75
  4. Step 4: Simplify right side
    1,858.88x = 16,481,570.06
  5. Step 5: Solve for x
    x = 16,481,570.06/1,858.88
  6. Step 6: Final answer
    x = 8,866.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.