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Finding the Third Proportional to 4,259 and 7,059

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Solution

The third proportional to 4,259 and 7,059 is: 11,699.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,259 : 7,059 = 7,059 : x
  2. Step 2: Convert to fraction form
    4,259/7,059 = 7,059/x
  3. Step 3: Cross multiply
    4,259x = 7,059 × 7,059
  4. Step 4: Simplify right side
    4,259x = 49,829,481
  5. Step 5: Solve for x
    x = 49,829,481/4,259
  6. Step 6: Final answer
    x = 11,699.81

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.