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Finding the Third Proportional to 15,447 and 30,126

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Solution

The third proportional to 15,447 and 30,126 is: 58,754.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,447 : 30,126 = 30,126 : x
  2. Step 2: Convert to fraction form
    15,447/30,126 = 30,126/x
  3. Step 3: Cross multiply
    15,447x = 30,126 × 30,126
  4. Step 4: Simplify right side
    15,447x = 907,575,876
  5. Step 5: Solve for x
    x = 907,575,876/15,447
  6. Step 6: Final answer
    x = 58,754.18

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.