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Finding the Third Proportional to 29,738 and 46,026

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Solution

The third proportional to 29,738 and 46,026 is: 71,235.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,738 : 46,026 = 46,026 : x
  2. Step 2: Convert to fraction form
    29,738/46,026 = 46,026/x
  3. Step 3: Cross multiply
    29,738x = 46,026 × 46,026
  4. Step 4: Simplify right side
    29,738x = 2,118,392,676
  5. Step 5: Solve for x
    x = 2,118,392,676/29,738
  6. Step 6: Final answer
    x = 71,235.21

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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.