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Finding the Third Proportional to 29,712.75 and 61,916.25

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Solution

The third proportional to 29,712.75 and 61,916.25 is: 129,022.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,712.75 : 61,916.25 = 61,916.25 : x
  2. Step 2: Convert to fraction form
    29,712.75/61,916.25 = 61,916.25/x
  3. Step 3: Cross multiply
    29,712.75x = 61,916.25 × 61,916.25
  4. Step 4: Simplify right side
    29,712.75x = 3,833,622,014.06
  5. Step 5: Solve for x
    x = 3,833,622,014.06/29,712.75
  6. Step 6: Final answer
    x = 129,022.79

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.