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Finding the Third Proportional to 23,265 and 33,230

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Solution

The third proportional to 23,265 and 33,230 is: 47,463.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,265 : 33,230 = 33,230 : x
  2. Step 2: Convert to fraction form
    23,265/33,230 = 33,230/x
  3. Step 3: Cross multiply
    23,265x = 33,230 × 33,230
  4. Step 4: Simplify right side
    23,265x = 1,104,232,900
  5. Step 5: Solve for x
    x = 1,104,232,900/23,265
  6. Step 6: Final answer
    x = 47,463.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.