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Finding the Third Proportional to 30,714.75 and 41,274.75

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Solution

The third proportional to 30,714.75 and 41,274.75 is: 55,465.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,714.75 : 41,274.75 = 41,274.75 : x
  2. Step 2: Convert to fraction form
    30,714.75/41,274.75 = 41,274.75/x
  3. Step 3: Cross multiply
    30,714.75x = 41,274.75 × 41,274.75
  4. Step 4: Simplify right side
    30,714.75x = 1,703,604,987.56
  5. Step 5: Solve for x
    x = 1,703,604,987.56/30,714.75
  6. Step 6: Final answer
    x = 55,465.37

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.