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Finding the Third Proportional to 29,781 and 65,464.88

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Solution

The third proportional to 29,781 and 65,464.88 is: 143,905.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,781 : 65,464.88 = 65,464.88 : x
  2. Step 2: Convert to fraction form
    29,781/65,464.88 = 65,464.88/x
  3. Step 3: Cross multiply
    29,781x = 65,464.88 × 65,464.88
  4. Step 4: Simplify right side
    29,781x = 4,285,649,858.77
  5. Step 5: Solve for x
    x = 4,285,649,858.77/29,781
  6. Step 6: Final answer
    x = 143,905.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.