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Finding the Third Proportional to 7,445.25 and 13,223.25

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Solution

The third proportional to 7,445.25 and 13,223.25 is: 23,485.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,445.25 : 13,223.25 = 13,223.25 : x
  2. Step 2: Convert to fraction form
    7,445.25/13,223.25 = 13,223.25/x
  3. Step 3: Cross multiply
    7,445.25x = 13,223.25 × 13,223.25
  4. Step 4: Simplify right side
    7,445.25x = 174,854,340.56
  5. Step 5: Solve for x
    x = 174,854,340.56/7,445.25
  6. Step 6: Final answer
    x = 23,485.36

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.