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Finding the Third Proportional to 13,021.70 and 28,019.36

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Solution

The third proportional to 13,021.70 and 28,019.36 is: 60,290.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.70 : 28,019.36 = 28,019.36 : x
  2. Step 2: Convert to fraction form
    13,021.70/28,019.36 = 28,019.36/x
  3. Step 3: Cross multiply
    13,021.70x = 28,019.36 × 28,019.36
  4. Step 4: Simplify right side
    13,021.70x = 785,084,280.88
  5. Step 5: Solve for x
    x = 785,084,280.88/13,021.70
  6. Step 6: Final answer
    x = 60,290.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.