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Finding the Third Proportional to 1,309 and 3,059

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Solution

The third proportional to 1,309 and 3,059 is: 7,148.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309 : 3,059 = 3,059 : x
  2. Step 2: Convert to fraction form
    1,309/3,059 = 3,059/x
  3. Step 3: Cross multiply
    1,309x = 3,059 × 3,059
  4. Step 4: Simplify right side
    1,309x = 9,357,481
  5. Step 5: Solve for x
    x = 9,357,481/1,309
  6. Step 6: Final answer
    x = 7,148.57

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.