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Finding the Third Proportional to 7,446 and 15,505

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Solution

The third proportional to 7,446 and 15,505 is: 32,286.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446 : 15,505 = 15,505 : x
  2. Step 2: Convert to fraction form
    7,446/15,505 = 15,505/x
  3. Step 3: Cross multiply
    7,446x = 15,505 × 15,505
  4. Step 4: Simplify right side
    7,446x = 240,405,025
  5. Step 5: Solve for x
    x = 240,405,025/7,446
  6. Step 6: Final answer
    x = 32,286.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.