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Finding the Third Proportional to 23,412.75 and 30,324

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Solution

The third proportional to 23,412.75 and 30,324 is: 39,275.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,412.75 : 30,324 = 30,324 : x
  2. Step 2: Convert to fraction form
    23,412.75/30,324 = 30,324/x
  3. Step 3: Cross multiply
    23,412.75x = 30,324 × 30,324
  4. Step 4: Simplify right side
    23,412.75x = 919,544,976
  5. Step 5: Solve for x
    x = 919,544,976/23,412.75
  6. Step 6: Final answer
    x = 39,275.39

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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.