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Finding the Third Proportional to 7,823.72 and 16,974.66

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Solution

The third proportional to 7,823.72 and 16,974.66 is: 36,828.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.72 : 16,974.66 = 16,974.66 : x
  2. Step 2: Convert to fraction form
    7,823.72/16,974.66 = 16,974.66/x
  3. Step 3: Cross multiply
    7,823.72x = 16,974.66 × 16,974.66
  4. Step 4: Simplify right side
    7,823.72x = 288,138,954.81
  5. Step 5: Solve for x
    x = 288,138,954.81/7,823.72
  6. Step 6: Final answer
    x = 36,828.90

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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.