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Finding the Third Proportional to 35,006 and 74,329

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Solution

The third proportional to 35,006 and 74,329 is: 157,824.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,006 : 74,329 = 74,329 : x
  2. Step 2: Convert to fraction form
    35,006/74,329 = 74,329/x
  3. Step 3: Cross multiply
    35,006x = 74,329 × 74,329
  4. Step 4: Simplify right side
    35,006x = 5,524,800,241
  5. Step 5: Solve for x
    x = 5,524,800,241/35,006
  6. Step 6: Final answer
    x = 157,824.38

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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.