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Finding the Third Proportional to 30,895 and 46,662

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Solution

The third proportional to 30,895 and 46,662 is: 70,475.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,895 : 46,662 = 46,662 : x
  2. Step 2: Convert to fraction form
    30,895/46,662 = 46,662/x
  3. Step 3: Cross multiply
    30,895x = 46,662 × 46,662
  4. Step 4: Simplify right side
    30,895x = 2,177,342,244
  5. Step 5: Solve for x
    x = 2,177,342,244/30,895
  6. Step 6: Final answer
    x = 70,475.55

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