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Finding the Third Proportional to 7,233 and 10,296

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Solution

The third proportional to 7,233 and 10,296 is: 14,656.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,233 : 10,296 = 10,296 : x
  2. Step 2: Convert to fraction form
    7,233/10,296 = 10,296/x
  3. Step 3: Cross multiply
    7,233x = 10,296 × 10,296
  4. Step 4: Simplify right side
    7,233x = 106,007,616
  5. Step 5: Solve for x
    x = 106,007,616/7,233
  6. Step 6: Final answer
    x = 14,656.11

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.