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Finding the Third Proportional to 7,646 and 11,607

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Solution

The third proportional to 7,646 and 11,607 is: 17,619.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646 : 11,607 = 11,607 : x
  2. Step 2: Convert to fraction form
    7,646/11,607 = 11,607/x
  3. Step 3: Cross multiply
    7,646x = 11,607 × 11,607
  4. Step 4: Simplify right side
    7,646x = 134,722,449
  5. Step 5: Solve for x
    x = 134,722,449/7,646
  6. Step 6: Final answer
    x = 17,619.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.