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Finding the Third Proportional to 30,061 and 46,910

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Solution

The third proportional to 30,061 and 46,910 is: 73,202.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,061 : 46,910 = 46,910 : x
  2. Step 2: Convert to fraction form
    30,061/46,910 = 46,910/x
  3. Step 3: Cross multiply
    30,061x = 46,910 × 46,910
  4. Step 4: Simplify right side
    30,061x = 2,200,548,100
  5. Step 5: Solve for x
    x = 2,200,548,100/30,061
  6. Step 6: Final answer
    x = 73,202.76

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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.