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Finding the Third Proportional to 46,079 and 67,647

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Solution

The third proportional to 46,079 and 67,647 is: 99,310.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,079 : 67,647 = 67,647 : x
  2. Step 2: Convert to fraction form
    46,079/67,647 = 67,647/x
  3. Step 3: Cross multiply
    46,079x = 67,647 × 67,647
  4. Step 4: Simplify right side
    46,079x = 4,576,116,609
  5. Step 5: Solve for x
    x = 4,576,116,609/46,079
  6. Step 6: Final answer
    x = 99,310.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.