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Finding the Third Proportional to 30,189 and 46,946

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Solution

The third proportional to 30,189 and 46,946 is: 73,004.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,189 : 46,946 = 46,946 : x
  2. Step 2: Convert to fraction form
    30,189/46,946 = 46,946/x
  3. Step 3: Cross multiply
    30,189x = 46,946 × 46,946
  4. Step 4: Simplify right side
    30,189x = 2,203,926,916
  5. Step 5: Solve for x
    x = 2,203,926,916/30,189
  6. Step 6: Final answer
    x = 73,004.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.