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Finding the Third Proportional to 10,341 and 14,771.25

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Solution

The third proportional to 10,341 and 14,771.25 is: 21,099.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,341 : 14,771.25 = 14,771.25 : x
  2. Step 2: Convert to fraction form
    10,341/14,771.25 = 14,771.25/x
  3. Step 3: Cross multiply
    10,341x = 14,771.25 × 14,771.25
  4. Step 4: Simplify right side
    10,341x = 218,189,826.56
  5. Step 5: Solve for x
    x = 218,189,826.56/10,341
  6. Step 6: Final answer
    x = 21,099.49

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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.