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Finding the Third Proportional to 13,420.75 and 28,569.25

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Solution

The third proportional to 13,420.75 and 28,569.25 is: 60,816.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420.75 : 28,569.25 = 28,569.25 : x
  2. Step 2: Convert to fraction form
    13,420.75/28,569.25 = 28,569.25/x
  3. Step 3: Cross multiply
    13,420.75x = 28,569.25 × 28,569.25
  4. Step 4: Simplify right side
    13,420.75x = 816,202,045.56
  5. Step 5: Solve for x
    x = 816,202,045.56/13,420.75
  6. Step 6: Final answer
    x = 60,816.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.