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Finding the Third Proportional to 29,883.50 and 65,024

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Solution

The third proportional to 29,883.50 and 65,024 is: 141,486.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,883.50 : 65,024 = 65,024 : x
  2. Step 2: Convert to fraction form
    29,883.50/65,024 = 65,024/x
  3. Step 3: Cross multiply
    29,883.50x = 65,024 × 65,024
  4. Step 4: Simplify right side
    29,883.50x = 4,228,120,576
  5. Step 5: Solve for x
    x = 4,228,120,576/29,883.50
  6. Step 6: Final answer
    x = 141,486.79

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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.