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Finding the Third Proportional to 13,228 and 20,464

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Solution

The third proportional to 13,228 and 20,464 is: 31,658.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,228 : 20,464 = 20,464 : x
  2. Step 2: Convert to fraction form
    13,228/20,464 = 20,464/x
  3. Step 3: Cross multiply
    13,228x = 20,464 × 20,464
  4. Step 4: Simplify right side
    13,228x = 418,775,296
  5. Step 5: Solve for x
    x = 418,775,296/13,228
  6. Step 6: Final answer
    x = 31,658.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.