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Finding the Third Proportional to 35,725 and 80,807

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Solution

The third proportional to 35,725 and 80,807 is: 182,778.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,725 : 80,807 = 80,807 : x
  2. Step 2: Convert to fraction form
    35,725/80,807 = 80,807/x
  3. Step 3: Cross multiply
    35,725x = 80,807 × 80,807
  4. Step 4: Simplify right side
    35,725x = 6,529,771,249
  5. Step 5: Solve for x
    x = 6,529,771,249/35,725
  6. Step 6: Final answer
    x = 182,778.76

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.