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Finding the Third Proportional to 35,350 and 74,828

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Solution

The third proportional to 35,350 and 74,828 is: 158,394.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,350 : 74,828 = 74,828 : x
  2. Step 2: Convert to fraction form
    35,350/74,828 = 74,828/x
  3. Step 3: Cross multiply
    35,350x = 74,828 × 74,828
  4. Step 4: Simplify right side
    35,350x = 5,599,229,584
  5. Step 5: Solve for x
    x = 5,599,229,584/35,350
  6. Step 6: Final answer
    x = 158,394.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.