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Finding the Third Proportional to 6,291 and 9,417

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Solution

The third proportional to 6,291 and 9,417 is: 14,096.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291 : 9,417 = 9,417 : x
  2. Step 2: Convert to fraction form
    6,291/9,417 = 9,417/x
  3. Step 3: Cross multiply
    6,291x = 9,417 × 9,417
  4. Step 4: Simplify right side
    6,291x = 88,679,889
  5. Step 5: Solve for x
    x = 88,679,889/6,291
  6. Step 6: Final answer
    x = 14,096.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.