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Finding the Third Proportional to 4,580 and 7,279

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Solution

The third proportional to 4,580 and 7,279 is: 11,568.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,580 : 7,279 = 7,279 : x
  2. Step 2: Convert to fraction form
    4,580/7,279 = 7,279/x
  3. Step 3: Cross multiply
    4,580x = 7,279 × 7,279
  4. Step 4: Simplify right side
    4,580x = 52,983,841
  5. Step 5: Solve for x
    x = 52,983,841/4,580
  6. Step 6: Final answer
    x = 11,568.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.