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Finding the Third Proportional to 13,323.23 and 29,328.33

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Solution

The third proportional to 13,323.23 and 29,328.33 is: 64,560.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,323.23 : 29,328.33 = 29,328.33 : x
  2. Step 2: Convert to fraction form
    13,323.23/29,328.33 = 29,328.33/x
  3. Step 3: Cross multiply
    13,323.23x = 29,328.33 × 29,328.33
  4. Step 4: Simplify right side
    13,323.23x = 860,150,830.61
  5. Step 5: Solve for x
    x = 860,150,830.61/13,323.23
  6. Step 6: Final answer
    x = 64,560.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.