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Finding the Third Proportional to 7,233 and 14,826

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Solution

The third proportional to 7,233 and 14,826 is: 30,389.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,233 : 14,826 = 14,826 : x
  2. Step 2: Convert to fraction form
    7,233/14,826 = 14,826/x
  3. Step 3: Cross multiply
    7,233x = 14,826 × 14,826
  4. Step 4: Simplify right side
    7,233x = 219,810,276
  5. Step 5: Solve for x
    x = 219,810,276/7,233
  6. Step 6: Final answer
    x = 30,389.92

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.