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Finding the Third Proportional to 29,920.50 and 65,094

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Solution

The third proportional to 29,920.50 and 65,094 is: 141,616.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,920.50 : 65,094 = 65,094 : x
  2. Step 2: Convert to fraction form
    29,920.50/65,094 = 65,094/x
  3. Step 3: Cross multiply
    29,920.50x = 65,094 × 65,094
  4. Step 4: Simplify right side
    29,920.50x = 4,237,228,836
  5. Step 5: Solve for x
    x = 4,237,228,836/29,920.50
  6. Step 6: Final answer
    x = 141,616.24

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.