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Finding the Third Proportional to 35,976 and 74,817

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Solution

The third proportional to 35,976 and 74,817 is: 155,592.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,976 : 74,817 = 74,817 : x
  2. Step 2: Convert to fraction form
    35,976/74,817 = 74,817/x
  3. Step 3: Cross multiply
    35,976x = 74,817 × 74,817
  4. Step 4: Simplify right side
    35,976x = 5,597,583,489
  5. Step 5: Solve for x
    x = 5,597,583,489/35,976
  6. Step 6: Final answer
    x = 155,592.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.