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Finding the Third Proportional to 7,348 and 13,238

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Solution

The third proportional to 7,348 and 13,238 is: 23,849.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,348 : 13,238 = 13,238 : x
  2. Step 2: Convert to fraction form
    7,348/13,238 = 13,238/x
  3. Step 3: Cross multiply
    7,348x = 13,238 × 13,238
  4. Step 4: Simplify right side
    7,348x = 175,244,644
  5. Step 5: Solve for x
    x = 175,244,644/7,348
  6. Step 6: Final answer
    x = 23,849.30

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.