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Finding the Third Proportional to 46,628 and 69,925

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Solution

The third proportional to 46,628 and 69,925 is: 104,862.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,628 : 69,925 = 69,925 : x
  2. Step 2: Convert to fraction form
    46,628/69,925 = 69,925/x
  3. Step 3: Cross multiply
    46,628x = 69,925 × 69,925
  4. Step 4: Simplify right side
    46,628x = 4,889,505,625
  5. Step 5: Solve for x
    x = 4,889,505,625/46,628
  6. Step 6: Final answer
    x = 104,862.01

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