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Finding the Third Proportional to 29,760 and 46,110

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Solution

The third proportional to 29,760 and 46,110 is: 71,442.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,760 : 46,110 = 46,110 : x
  2. Step 2: Convert to fraction form
    29,760/46,110 = 46,110/x
  3. Step 3: Cross multiply
    29,760x = 46,110 × 46,110
  4. Step 4: Simplify right side
    29,760x = 2,126,132,100
  5. Step 5: Solve for x
    x = 2,126,132,100/29,760
  6. Step 6: Final answer
    x = 71,442.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.