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Finding the Third Proportional to 14,314 and 31,013

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Solution

The third proportional to 14,314 and 31,013 is: 67,193.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,314 : 31,013 = 31,013 : x
  2. Step 2: Convert to fraction form
    14,314/31,013 = 31,013/x
  3. Step 3: Cross multiply
    14,314x = 31,013 × 31,013
  4. Step 4: Simplify right side
    14,314x = 961,806,169
  5. Step 5: Solve for x
    x = 961,806,169/14,314
  6. Step 6: Final answer
    x = 67,193.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.