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Finding the Third Proportional to 35,289 and 74,682

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Solution

The third proportional to 35,289 and 74,682 is: 158,049.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,289 : 74,682 = 74,682 : x
  2. Step 2: Convert to fraction form
    35,289/74,682 = 74,682/x
  3. Step 3: Cross multiply
    35,289x = 74,682 × 74,682
  4. Step 4: Simplify right side
    35,289x = 5,577,401,124
  5. Step 5: Solve for x
    x = 5,577,401,124/35,289
  6. Step 6: Final answer
    x = 158,049.28

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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.