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Finding the Third Proportional to 29,991 and 65,631.75

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Solution

The third proportional to 29,991 and 65,631.75 is: 143,627.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,991 : 65,631.75 = 65,631.75 : x
  2. Step 2: Convert to fraction form
    29,991/65,631.75 = 65,631.75/x
  3. Step 3: Cross multiply
    29,991x = 65,631.75 × 65,631.75
  4. Step 4: Simplify right side
    29,991x = 4,307,526,608.06
  5. Step 5: Solve for x
    x = 4,307,526,608.06/29,991
  6. Step 6: Final answer
    x = 143,627.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.