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Finding the Third Proportional to 30,626 and 46,179

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Solution

The third proportional to 30,626 and 46,179 is: 69,630.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,626 : 46,179 = 46,179 : x
  2. Step 2: Convert to fraction form
    30,626/46,179 = 46,179/x
  3. Step 3: Cross multiply
    30,626x = 46,179 × 46,179
  4. Step 4: Simplify right side
    30,626x = 2,132,500,041
  5. Step 5: Solve for x
    x = 2,132,500,041/30,626
  6. Step 6: Final answer
    x = 69,630.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.