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Finding the Third Proportional to 7,646 and 15,985

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Solution

The third proportional to 7,646 and 15,985 is: 33,418.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646 : 15,985 = 15,985 : x
  2. Step 2: Convert to fraction form
    7,646/15,985 = 15,985/x
  3. Step 3: Cross multiply
    7,646x = 15,985 × 15,985
  4. Step 4: Simplify right side
    7,646x = 255,520,225
  5. Step 5: Solve for x
    x = 255,520,225/7,646
  6. Step 6: Final answer
    x = 33,418.81

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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.