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Finding the Third Proportional to 13,670 and 19,223

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Solution

The third proportional to 13,670 and 19,223 is: 27,031.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,670 : 19,223 = 19,223 : x
  2. Step 2: Convert to fraction form
    13,670/19,223 = 19,223/x
  3. Step 3: Cross multiply
    13,670x = 19,223 × 19,223
  4. Step 4: Simplify right side
    13,670x = 369,523,729
  5. Step 5: Solve for x
    x = 369,523,729/13,670
  6. Step 6: Final answer
    x = 27,031.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.