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Finding the Third Proportional to 35,338 and 49,531

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Solution

The third proportional to 35,338 and 49,531 is: 69,424.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,338 : 49,531 = 49,531 : x
  2. Step 2: Convert to fraction form
    35,338/49,531 = 49,531/x
  3. Step 3: Cross multiply
    35,338x = 49,531 × 49,531
  4. Step 4: Simplify right side
    35,338x = 2,453,319,961
  5. Step 5: Solve for x
    x = 2,453,319,961/35,338
  6. Step 6: Final answer
    x = 69,424.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.