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Finding the Third Proportional to 35,190 and 52,749

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Solution

The third proportional to 35,190 and 52,749 is: 79,069.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,190 : 52,749 = 52,749 : x
  2. Step 2: Convert to fraction form
    35,190/52,749 = 52,749/x
  3. Step 3: Cross multiply
    35,190x = 52,749 × 52,749
  4. Step 4: Simplify right side
    35,190x = 2,782,457,001
  5. Step 5: Solve for x
    x = 2,782,457,001/35,190
  6. Step 6: Final answer
    x = 79,069.54

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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.