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Finding the Third Proportional to 13,122 and 18,744.75

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Solution

The third proportional to 13,122 and 18,744.75 is: 26,776.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,122 : 18,744.75 = 18,744.75 : x
  2. Step 2: Convert to fraction form
    13,122/18,744.75 = 18,744.75/x
  3. Step 3: Cross multiply
    13,122x = 18,744.75 × 18,744.75
  4. Step 4: Simplify right side
    13,122x = 351,365,652.56
  5. Step 5: Solve for x
    x = 351,365,652.56/13,122
  6. Step 6: Final answer
    x = 26,776.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.