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Finding the Third Proportional to 13,905 and 20,783.25

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Solution

The third proportional to 13,905 and 20,783.25 is: 31,063.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,905 : 20,783.25 = 20,783.25 : x
  2. Step 2: Convert to fraction form
    13,905/20,783.25 = 20,783.25/x
  3. Step 3: Cross multiply
    13,905x = 20,783.25 × 20,783.25
  4. Step 4: Simplify right side
    13,905x = 431,943,480.56
  5. Step 5: Solve for x
    x = 431,943,480.56/13,905
  6. Step 6: Final answer
    x = 31,063.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.