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Finding the Third Proportional to 2,943.75 and 4,125.66

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Solution

The third proportional to 2,943.75 and 4,125.66 is: 5,782.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.75 : 4,125.66 = 4,125.66 : x
  2. Step 2: Convert to fraction form
    2,943.75/4,125.66 = 4,125.66/x
  3. Step 3: Cross multiply
    2,943.75x = 4,125.66 × 4,125.66
  4. Step 4: Simplify right side
    2,943.75x = 17,021,039.49
  5. Step 5: Solve for x
    x = 17,021,039.49/2,943.75
  6. Step 6: Final answer
    x = 5,782.09

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.