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Finding the Third Proportional to 30,741 and 46,119

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Solution

The third proportional to 30,741 and 46,119 is: 69,189.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,741 : 46,119 = 46,119 : x
  2. Step 2: Convert to fraction form
    30,741/46,119 = 46,119/x
  3. Step 3: Cross multiply
    30,741x = 46,119 × 46,119
  4. Step 4: Simplify right side
    30,741x = 2,126,962,161
  5. Step 5: Solve for x
    x = 2,126,962,161/30,741
  6. Step 6: Final answer
    x = 69,189.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.