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Finding the Third Proportional to 14,093 and 30,827

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Solution

The third proportional to 14,093 and 30,827 is: 67,430.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,093 : 30,827 = 30,827 : x
  2. Step 2: Convert to fraction form
    14,093/30,827 = 30,827/x
  3. Step 3: Cross multiply
    14,093x = 30,827 × 30,827
  4. Step 4: Simplify right side
    14,093x = 950,303,929
  5. Step 5: Solve for x
    x = 950,303,929/14,093
  6. Step 6: Final answer
    x = 67,430.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.