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Finding the Third Proportional to 3,438 and 4,347

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Solution

The third proportional to 3,438 and 4,347 is: 5,496.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438 : 4,347 = 4,347 : x
  2. Step 2: Convert to fraction form
    3,438/4,347 = 4,347/x
  3. Step 3: Cross multiply
    3,438x = 4,347 × 4,347
  4. Step 4: Simplify right side
    3,438x = 18,896,409
  5. Step 5: Solve for x
    x = 18,896,409/3,438
  6. Step 6: Final answer
    x = 5,496.34

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.