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Finding the Third Proportional to 35,993 and 74,291

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Solution

The third proportional to 35,993 and 74,291 is: 153,339.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,993 : 74,291 = 74,291 : x
  2. Step 2: Convert to fraction form
    35,993/74,291 = 74,291/x
  3. Step 3: Cross multiply
    35,993x = 74,291 × 74,291
  4. Step 4: Simplify right side
    35,993x = 5,519,152,681
  5. Step 5: Solve for x
    x = 5,519,152,681/35,993
  6. Step 6: Final answer
    x = 153,339.61

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.