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Finding the Third Proportional to 6,194 and 13,417

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Solution

The third proportional to 6,194 and 13,417 is: 29,062.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194 : 13,417 = 13,417 : x
  2. Step 2: Convert to fraction form
    6,194/13,417 = 13,417/x
  3. Step 3: Cross multiply
    6,194x = 13,417 × 13,417
  4. Step 4: Simplify right side
    6,194x = 180,015,889
  5. Step 5: Solve for x
    x = 180,015,889/6,194
  6. Step 6: Final answer
    x = 29,062.95

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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.