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Finding the Third Proportional to 46,620 and 69,914

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Solution

The third proportional to 46,620 and 69,914 is: 104,847.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,620 : 69,914 = 69,914 : x
  2. Step 2: Convert to fraction form
    46,620/69,914 = 69,914/x
  3. Step 3: Cross multiply
    46,620x = 69,914 × 69,914
  4. Step 4: Simplify right side
    46,620x = 4,887,967,396
  5. Step 5: Solve for x
    x = 4,887,967,396/46,620
  6. Step 6: Final answer
    x = 104,847.01

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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.