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Finding the Third Proportional to 13,270 and 20,369

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Solution

The third proportional to 13,270 and 20,369 is: 31,265.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,270 : 20,369 = 20,369 : x
  2. Step 2: Convert to fraction form
    13,270/20,369 = 20,369/x
  3. Step 3: Cross multiply
    13,270x = 20,369 × 20,369
  4. Step 4: Simplify right side
    13,270x = 414,896,161
  5. Step 5: Solve for x
    x = 414,896,161/13,270
  6. Step 6: Final answer
    x = 31,265.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.