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Finding the Third Proportional to 13,346.25 and 19,469.25

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Solution

The third proportional to 13,346.25 and 19,469.25 is: 28,401.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,346.25 : 19,469.25 = 19,469.25 : x
  2. Step 2: Convert to fraction form
    13,346.25/19,469.25 = 19,469.25/x
  3. Step 3: Cross multiply
    13,346.25x = 19,469.25 × 19,469.25
  4. Step 4: Simplify right side
    13,346.25x = 379,051,695.56
  5. Step 5: Solve for x
    x = 379,051,695.56/13,346.25
  6. Step 6: Final answer
    x = 28,401.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.