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Finding the Third Proportional to 52,006 and 73,329

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Solution

The third proportional to 52,006 and 73,329 is: 103,394.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,006 : 73,329 = 73,329 : x
  2. Step 2: Convert to fraction form
    52,006/73,329 = 73,329/x
  3. Step 3: Cross multiply
    52,006x = 73,329 × 73,329
  4. Step 4: Simplify right side
    52,006x = 5,377,142,241
  5. Step 5: Solve for x
    x = 5,377,142,241/52,006
  6. Step 6: Final answer
    x = 103,394.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.