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Finding the Third Proportional to 30,606 and 46,816

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Solution

The third proportional to 30,606 and 46,816 is: 71,611.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,606 : 46,816 = 46,816 : x
  2. Step 2: Convert to fraction form
    30,606/46,816 = 46,816/x
  3. Step 3: Cross multiply
    30,606x = 46,816 × 46,816
  4. Step 4: Simplify right side
    30,606x = 2,191,737,856
  5. Step 5: Solve for x
    x = 2,191,737,856/30,606
  6. Step 6: Final answer
    x = 71,611.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.