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Finding the Third Proportional to 46,726 and 69,895

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Solution

The third proportional to 46,726 and 69,895 is: 104,552.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,726 : 69,895 = 69,895 : x
  2. Step 2: Convert to fraction form
    46,726/69,895 = 69,895/x
  3. Step 3: Cross multiply
    46,726x = 69,895 × 69,895
  4. Step 4: Simplify right side
    46,726x = 4,885,311,025
  5. Step 5: Solve for x
    x = 4,885,311,025/46,726
  6. Step 6: Final answer
    x = 104,552.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.