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Finding the Third Proportional to 46,948 and 62,016

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Solution

The third proportional to 46,948 and 62,016 is: 81,920.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,948 : 62,016 = 62,016 : x
  2. Step 2: Convert to fraction form
    46,948/62,016 = 62,016/x
  3. Step 3: Cross multiply
    46,948x = 62,016 × 62,016
  4. Step 4: Simplify right side
    46,948x = 3,845,984,256
  5. Step 5: Solve for x
    x = 3,845,984,256/46,948
  6. Step 6: Final answer
    x = 81,920.09

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.