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Finding the Third Proportional to 23,145 and 33,853

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Solution

The third proportional to 23,145 and 33,853 is: 49,515.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,145 : 33,853 = 33,853 : x
  2. Step 2: Convert to fraction form
    23,145/33,853 = 33,853/x
  3. Step 3: Cross multiply
    23,145x = 33,853 × 33,853
  4. Step 4: Simplify right side
    23,145x = 1,146,025,609
  5. Step 5: Solve for x
    x = 1,146,025,609/23,145
  6. Step 6: Final answer
    x = 49,515.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.