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Finding the Third Proportional to 35,697 and 50,143.25

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Solution

The third proportional to 35,697 and 50,143.25 is: 70,435.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,697 : 50,143.25 = 50,143.25 : x
  2. Step 2: Convert to fraction form
    35,697/50,143.25 = 50,143.25/x
  3. Step 3: Cross multiply
    35,697x = 50,143.25 × 50,143.25
  4. Step 4: Simplify right side
    35,697x = 2,514,345,520.56
  5. Step 5: Solve for x
    x = 2,514,345,520.56/35,697
  6. Step 6: Final answer
    x = 70,435.77

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.