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Finding the Third Proportional to 23,388.75 and 30,344.63

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Solution

The third proportional to 23,388.75 and 30,344.63 is: 39,369.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,388.75 : 30,344.63 = 30,344.63 : x
  2. Step 2: Convert to fraction form
    23,388.75/30,344.63 = 30,344.63/x
  3. Step 3: Cross multiply
    23,388.75x = 30,344.63 × 30,344.63
  4. Step 4: Simplify right side
    23,388.75x = 920,796,266.39
  5. Step 5: Solve for x
    x = 920,796,266.39/23,388.75
  6. Step 6: Final answer
    x = 39,369.20

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.