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Finding the Third Proportional to 7,657 and 11,039

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Solution

The third proportional to 7,657 and 11,039 is: 15,914.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657 : 11,039 = 11,039 : x
  2. Step 2: Convert to fraction form
    7,657/11,039 = 11,039/x
  3. Step 3: Cross multiply
    7,657x = 11,039 × 11,039
  4. Step 4: Simplify right side
    7,657x = 121,859,521
  5. Step 5: Solve for x
    x = 121,859,521/7,657
  6. Step 6: Final answer
    x = 15,914.79

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.