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Finding the Third Proportional to 5,094 and 7,657

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Solution

The third proportional to 5,094 and 7,657 is: 11,509.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,094 : 7,657 = 7,657 : x
  2. Step 2: Convert to fraction form
    5,094/7,657 = 7,657/x
  3. Step 3: Cross multiply
    5,094x = 7,657 × 7,657
  4. Step 4: Simplify right side
    5,094x = 58,629,649
  5. Step 5: Solve for x
    x = 58,629,649/5,094
  6. Step 6: Final answer
    x = 11,509.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.