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Finding the Third Proportional to 7,872.19 and 16,410.94

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Solution

The third proportional to 7,872.19 and 16,410.94 is: 34,211.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.19 : 16,410.94 = 16,410.94 : x
  2. Step 2: Convert to fraction form
    7,872.19/16,410.94 = 16,410.94/x
  3. Step 3: Cross multiply
    7,872.19x = 16,410.94 × 16,410.94
  4. Step 4: Simplify right side
    7,872.19x = 269,318,869.63
  5. Step 5: Solve for x
    x = 269,318,869.63/7,872.19
  6. Step 6: Final answer
    x = 34,211.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.