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Finding the Third Proportional to 29,735.44 and 64,112.77

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Solution

The third proportional to 29,735.44 and 64,112.77 is: 138,233.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,735.44 : 64,112.77 = 64,112.77 : x
  2. Step 2: Convert to fraction form
    29,735.44/64,112.77 = 64,112.77/x
  3. Step 3: Cross multiply
    29,735.44x = 64,112.77 × 64,112.77
  4. Step 4: Simplify right side
    29,735.44x = 4,110,446,716.09
  5. Step 5: Solve for x
    x = 4,110,446,716.09/29,735.44
  6. Step 6: Final answer
    x = 138,233.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.