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Finding the Third Proportional to 35,149.50 and 52,770

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Solution

The third proportional to 35,149.50 and 52,770 is: 79,223.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,149.50 : 52,770 = 52,770 : x
  2. Step 2: Convert to fraction form
    35,149.50/52,770 = 52,770/x
  3. Step 3: Cross multiply
    35,149.50x = 52,770 × 52,770
  4. Step 4: Simplify right side
    35,149.50x = 2,784,672,900
  5. Step 5: Solve for x
    x = 2,784,672,900/35,149.50
  6. Step 6: Final answer
    x = 79,223.68

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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.