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Finding the Third Proportional to 2,818.97 and 6,524.72

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Solution

The third proportional to 2,818.97 and 6,524.72 is: 15,101.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.97 : 6,524.72 = 6,524.72 : x
  2. Step 2: Convert to fraction form
    2,818.97/6,524.72 = 6,524.72/x
  3. Step 3: Cross multiply
    2,818.97x = 6,524.72 × 6,524.72
  4. Step 4: Simplify right side
    2,818.97x = 42,571,954.77
  5. Step 5: Solve for x
    x = 42,571,954.77/2,818.97
  6. Step 6: Final answer
    x = 15,101.96

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.