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Finding the Third Proportional to 29,638 and 46,901

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Solution

The third proportional to 29,638 and 46,901 is: 74,219.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,638 : 46,901 = 46,901 : x
  2. Step 2: Convert to fraction form
    29,638/46,901 = 46,901/x
  3. Step 3: Cross multiply
    29,638x = 46,901 × 46,901
  4. Step 4: Simplify right side
    29,638x = 2,199,703,801
  5. Step 5: Solve for x
    x = 2,199,703,801/29,638
  6. Step 6: Final answer
    x = 74,219.04

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.