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Finding the Third Proportional to 7,658 and 16,006

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Solution

The third proportional to 7,658 and 16,006 is: 33,454.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658 : 16,006 = 16,006 : x
  2. Step 2: Convert to fraction form
    7,658/16,006 = 16,006/x
  3. Step 3: Cross multiply
    7,658x = 16,006 × 16,006
  4. Step 4: Simplify right side
    7,658x = 256,192,036
  5. Step 5: Solve for x
    x = 256,192,036/7,658
  6. Step 6: Final answer
    x = 33,454.17

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.