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Finding the Third Proportional to 2,043.75 and 4,333.22

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Solution

The third proportional to 2,043.75 and 4,333.22 is: 9,187.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.75 : 4,333.22 = 4,333.22 : x
  2. Step 2: Convert to fraction form
    2,043.75/4,333.22 = 4,333.22/x
  3. Step 3: Cross multiply
    2,043.75x = 4,333.22 × 4,333.22
  4. Step 4: Simplify right side
    2,043.75x = 18,776,784.74
  5. Step 5: Solve for x
    x = 18,776,784.74/2,043.75
  6. Step 6: Final answer
    x = 9,187.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.