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Finding the Third Proportional to 15,041 and 30,447

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Solution

The third proportional to 15,041 and 30,447 is: 61,632.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,041 : 30,447 = 30,447 : x
  2. Step 2: Convert to fraction form
    15,041/30,447 = 30,447/x
  3. Step 3: Cross multiply
    15,041x = 30,447 × 30,447
  4. Step 4: Simplify right side
    15,041x = 927,019,809
  5. Step 5: Solve for x
    x = 927,019,809/15,041
  6. Step 6: Final answer
    x = 61,632.86

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.