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Finding the Third Proportional to 15,888 and 21,180.75

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Solution

The third proportional to 15,888 and 21,180.75 is: 28,236.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,888 : 21,180.75 = 21,180.75 : x
  2. Step 2: Convert to fraction form
    15,888/21,180.75 = 21,180.75/x
  3. Step 3: Cross multiply
    15,888x = 21,180.75 × 21,180.75
  4. Step 4: Simplify right side
    15,888x = 448,624,170.56
  5. Step 5: Solve for x
    x = 448,624,170.56/15,888
  6. Step 6: Final answer
    x = 28,236.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.