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Finding the Third Proportional to 6,744 and 14,465

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Solution

The third proportional to 6,744 and 14,465 is: 31,025.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744 : 14,465 = 14,465 : x
  2. Step 2: Convert to fraction form
    6,744/14,465 = 14,465/x
  3. Step 3: Cross multiply
    6,744x = 14,465 × 14,465
  4. Step 4: Simplify right side
    6,744x = 209,236,225
  5. Step 5: Solve for x
    x = 209,236,225/6,744
  6. Step 6: Final answer
    x = 31,025.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.