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Finding the Third Proportional to 35,191 and 52,722

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Solution

The third proportional to 35,191 and 52,722 is: 78,986.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,191 : 52,722 = 52,722 : x
  2. Step 2: Convert to fraction form
    35,191/52,722 = 52,722/x
  3. Step 3: Cross multiply
    35,191x = 52,722 × 52,722
  4. Step 4: Simplify right side
    35,191x = 2,779,609,284
  5. Step 5: Solve for x
    x = 2,779,609,284/35,191
  6. Step 6: Final answer
    x = 78,986.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.