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Finding the Third Proportional to 1,827.56 and 3,974.06

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Solution

The third proportional to 1,827.56 and 3,974.06 is: 8,641.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.56 : 3,974.06 = 3,974.06 : x
  2. Step 2: Convert to fraction form
    1,827.56/3,974.06 = 3,974.06/x
  3. Step 3: Cross multiply
    1,827.56x = 3,974.06 × 3,974.06
  4. Step 4: Simplify right side
    1,827.56x = 15,793,172.75
  5. Step 5: Solve for x
    x = 15,793,172.75/1,827.56
  6. Step 6: Final answer
    x = 8,641.66

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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.