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Finding the Third Proportional to 13,929 and 26,220

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Solution

The third proportional to 13,929 and 26,220 is: 49,356.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,929 : 26,220 = 26,220 : x
  2. Step 2: Convert to fraction form
    13,929/26,220 = 26,220/x
  3. Step 3: Cross multiply
    13,929x = 26,220 × 26,220
  4. Step 4: Simplify right side
    13,929x = 687,488,400
  5. Step 5: Solve for x
    x = 687,488,400/13,929
  6. Step 6: Final answer
    x = 49,356.62

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.