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Finding the Third Proportional to 13,836 and 29,645.25

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Solution

The third proportional to 13,836 and 29,645.25 is: 63,518.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,836 : 29,645.25 = 29,645.25 : x
  2. Step 2: Convert to fraction form
    13,836/29,645.25 = 29,645.25/x
  3. Step 3: Cross multiply
    13,836x = 29,645.25 × 29,645.25
  4. Step 4: Simplify right side
    13,836x = 878,840,847.56
  5. Step 5: Solve for x
    x = 878,840,847.56/13,836
  6. Step 6: Final answer
    x = 63,518.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.