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Finding the Third Proportional to 4,309 and 10,015

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Solution

The third proportional to 4,309 and 10,015 is: 23,276.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309 : 10,015 = 10,015 : x
  2. Step 2: Convert to fraction form
    4,309/10,015 = 10,015/x
  3. Step 3: Cross multiply
    4,309x = 10,015 × 10,015
  4. Step 4: Simplify right side
    4,309x = 100,300,225
  5. Step 5: Solve for x
    x = 100,300,225/4,309
  6. Step 6: Final answer
    x = 23,276.91

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.