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Finding the Third Proportional to 5,438 and 6,194

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Solution

The third proportional to 5,438 and 6,194 is: 7,055.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438 : 6,194 = 6,194 : x
  2. Step 2: Convert to fraction form
    5,438/6,194 = 6,194/x
  3. Step 3: Cross multiply
    5,438x = 6,194 × 6,194
  4. Step 4: Simplify right side
    5,438x = 38,365,636
  5. Step 5: Solve for x
    x = 38,365,636/5,438
  6. Step 6: Final answer
    x = 7,055.10

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.