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Finding the Third Proportional to 14,245 and 30,131

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Solution

The third proportional to 14,245 and 30,131 is: 63,733.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,245 : 30,131 = 30,131 : x
  2. Step 2: Convert to fraction form
    14,245/30,131 = 30,131/x
  3. Step 3: Cross multiply
    14,245x = 30,131 × 30,131
  4. Step 4: Simplify right side
    14,245x = 907,877,161
  5. Step 5: Solve for x
    x = 907,877,161/14,245
  6. Step 6: Final answer
    x = 63,733.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.