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

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Solution

The third proportional to 29,698 and 46,494 is: 72,789.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,698 : 46,494 = 46,494 : x
  2. Step 2: Convert to fraction form
    29,698/46,494 = 46,494/x
  3. Step 3: Cross multiply
    29,698x = 46,494 × 46,494
  4. Step 4: Simplify right side
    29,698x = 2,161,692,036
  5. Step 5: Solve for x
    x = 2,161,692,036/29,698
  6. Step 6: Final answer
    x = 72,789.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.