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Finding the Third Proportional to 6,309 and 13,254

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Solution

The third proportional to 6,309 and 13,254 is: 27,844.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309 : 13,254 = 13,254 : x
  2. Step 2: Convert to fraction form
    6,309/13,254 = 13,254/x
  3. Step 3: Cross multiply
    6,309x = 13,254 × 13,254
  4. Step 4: Simplify right side
    6,309x = 175,668,516
  5. Step 5: Solve for x
    x = 175,668,516/6,309
  6. Step 6: Final answer
    x = 27,844.11

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.