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Finding the Third Proportional to 6,438 and 8,417

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Solution

The third proportional to 6,438 and 8,417 is: 11,004.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438 : 8,417 = 8,417 : x
  2. Step 2: Convert to fraction form
    6,438/8,417 = 8,417/x
  3. Step 3: Cross multiply
    6,438x = 8,417 × 8,417
  4. Step 4: Simplify right side
    6,438x = 70,845,889
  5. Step 5: Solve for x
    x = 70,845,889/6,438
  6. Step 6: Final answer
    x = 11,004.33

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.