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Finding the Third Proportional to 43,824 and 65,660.50

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Solution

The third proportional to 43,824 and 65,660.50 is: 98,377.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,824 : 65,660.50 = 65,660.50 : x
  2. Step 2: Convert to fraction form
    43,824/65,660.50 = 65,660.50/x
  3. Step 3: Cross multiply
    43,824x = 65,660.50 × 65,660.50
  4. Step 4: Simplify right side
    43,824x = 4,311,301,260.25
  5. Step 5: Solve for x
    x = 4,311,301,260.25/43,824
  6. Step 6: Final answer
    x = 98,377.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.