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Finding the Third Proportional to 4,657 and 7,199

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Solution

The third proportional to 4,657 and 7,199 is: 11,128.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657 : 7,199 = 7,199 : x
  2. Step 2: Convert to fraction form
    4,657/7,199 = 7,199/x
  3. Step 3: Cross multiply
    4,657x = 7,199 × 7,199
  4. Step 4: Simplify right side
    4,657x = 51,825,601
  5. Step 5: Solve for x
    x = 51,825,601/4,657
  6. Step 6: Final answer
    x = 11,128.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.