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Finding the Third Proportional to 35,745.75 and 77,375.25

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Solution

The third proportional to 35,745.75 and 77,375.25 is: 167,486.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,745.75 : 77,375.25 = 77,375.25 : x
  2. Step 2: Convert to fraction form
    35,745.75/77,375.25 = 77,375.25/x
  3. Step 3: Cross multiply
    35,745.75x = 77,375.25 × 77,375.25
  4. Step 4: Simplify right side
    35,745.75x = 5,986,929,312.56
  5. Step 5: Solve for x
    x = 5,986,929,312.56/35,745.75
  6. Step 6: Final answer
    x = 167,486.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.