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Finding the Third Proportional to 6,574.50 and 13,371.75

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Solution

The third proportional to 6,574.50 and 13,371.75 is: 27,196.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.50 : 13,371.75 = 13,371.75 : x
  2. Step 2: Convert to fraction form
    6,574.50/13,371.75 = 13,371.75/x
  3. Step 3: Cross multiply
    6,574.50x = 13,371.75 × 13,371.75
  4. Step 4: Simplify right side
    6,574.50x = 178,803,698.06
  5. Step 5: Solve for x
    x = 178,803,698.06/6,574.50
  6. Step 6: Final answer
    x = 27,196.55

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.