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Finding the Third Proportional to 7,858 and 16,529

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Solution

The third proportional to 7,858 and 16,529 is: 34,768.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858 : 16,529 = 16,529 : x
  2. Step 2: Convert to fraction form
    7,858/16,529 = 16,529/x
  3. Step 3: Cross multiply
    7,858x = 16,529 × 16,529
  4. Step 4: Simplify right side
    7,858x = 273,207,841
  5. Step 5: Solve for x
    x = 273,207,841/7,858
  6. Step 6: Final answer
    x = 34,768.11

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.