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Finding the Third Proportional to 35,084 and 74,377

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Solution

The third proportional to 35,084 and 74,377 is: 157,676.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,084 : 74,377 = 74,377 : x
  2. Step 2: Convert to fraction form
    35,084/74,377 = 74,377/x
  3. Step 3: Cross multiply
    35,084x = 74,377 × 74,377
  4. Step 4: Simplify right side
    35,084x = 5,531,938,129
  5. Step 5: Solve for x
    x = 5,531,938,129/35,084
  6. Step 6: Final answer
    x = 157,676.95

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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.