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Finding the Third Proportional to 46,996 and 66,821

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Solution

The third proportional to 46,996 and 66,821 is: 95,009.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,996 : 66,821 = 66,821 : x
  2. Step 2: Convert to fraction form
    46,996/66,821 = 66,821/x
  3. Step 3: Cross multiply
    46,996x = 66,821 × 66,821
  4. Step 4: Simplify right side
    46,996x = 4,465,046,041
  5. Step 5: Solve for x
    x = 4,465,046,041/46,996
  6. Step 6: Final answer
    x = 95,009.07

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.