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Finding the Third Proportional to 4,311 and 9,309

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Solution

The third proportional to 4,311 and 9,309 is: 20,101.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311 : 9,309 = 9,309 : x
  2. Step 2: Convert to fraction form
    4,311/9,309 = 9,309/x
  3. Step 3: Cross multiply
    4,311x = 9,309 × 9,309
  4. Step 4: Simplify right side
    4,311x = 86,657,481
  5. Step 5: Solve for x
    x = 86,657,481/4,311
  6. Step 6: Final answer
    x = 20,101.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.