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Finding the Third Proportional to 35,840 and 39,296

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Solution

The third proportional to 35,840 and 39,296 is: 43,085.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,840 : 39,296 = 39,296 : x
  2. Step 2: Convert to fraction form
    35,840/39,296 = 39,296/x
  3. Step 3: Cross multiply
    35,840x = 39,296 × 39,296
  4. Step 4: Simplify right side
    35,840x = 1,544,175,616
  5. Step 5: Solve for x
    x = 1,544,175,616/35,840
  6. Step 6: Final answer
    x = 43,085.26

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.