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Finding the Third Proportional to 29,494 and 46,698

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Solution

The third proportional to 29,494 and 46,698 is: 73,937.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,494 : 46,698 = 46,698 : x
  2. Step 2: Convert to fraction form
    29,494/46,698 = 46,698/x
  3. Step 3: Cross multiply
    29,494x = 46,698 × 46,698
  4. Step 4: Simplify right side
    29,494x = 2,180,703,204
  5. Step 5: Solve for x
    x = 2,180,703,204/29,494
  6. Step 6: Final answer
    x = 73,937.18

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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.