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Finding the Third Proportional to 14,229 and 31,020.47

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Solution

The third proportional to 14,229 and 31,020.47 is: 67,627.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,229 : 31,020.47 = 31,020.47 : x
  2. Step 2: Convert to fraction form
    14,229/31,020.47 = 31,020.47/x
  3. Step 3: Cross multiply
    14,229x = 31,020.47 × 31,020.47
  4. Step 4: Simplify right side
    14,229x = 962,269,481.47
  5. Step 5: Solve for x
    x = 962,269,481.47/14,229
  6. Step 6: Final answer
    x = 67,627.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.