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Finding the Third Proportional to 13,913 and 22,119

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Solution

The third proportional to 13,913 and 22,119 is: 35,164.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,913 : 22,119 = 22,119 : x
  2. Step 2: Convert to fraction form
    13,913/22,119 = 22,119/x
  3. Step 3: Cross multiply
    13,913x = 22,119 × 22,119
  4. Step 4: Simplify right side
    13,913x = 489,250,161
  5. Step 5: Solve for x
    x = 489,250,161/13,913
  6. Step 6: Final answer
    x = 35,164.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.