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Finding the Third Proportional to 46,744 and 67,190

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Solution

The third proportional to 46,744 and 67,190 is: 96,579.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,744 : 67,190 = 67,190 : x
  2. Step 2: Convert to fraction form
    46,744/67,190 = 67,190/x
  3. Step 3: Cross multiply
    46,744x = 67,190 × 67,190
  4. Step 4: Simplify right side
    46,744x = 4,514,496,100
  5. Step 5: Solve for x
    x = 4,514,496,100/46,744
  6. Step 6: Final answer
    x = 96,579.16

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.