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Finding the Third Proportional to 13,623.75 and 30,340.69

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Solution

The third proportional to 13,623.75 and 30,340.69 is: 67,570.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,623.75 : 30,340.69 = 30,340.69 : x
  2. Step 2: Convert to fraction form
    13,623.75/30,340.69 = 30,340.69/x
  3. Step 3: Cross multiply
    13,623.75x = 30,340.69 × 30,340.69
  4. Step 4: Simplify right side
    13,623.75x = 920,557,317.97
  5. Step 5: Solve for x
    x = 920,557,317.97/13,623.75
  6. Step 6: Final answer
    x = 67,570.04

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.