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Finding the Third Proportional to 29,786.63 and 43,986.94

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Solution

The third proportional to 29,786.63 and 43,986.94 is: 64,957.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,786.63 : 43,986.94 = 43,986.94 : x
  2. Step 2: Convert to fraction form
    29,786.63/43,986.94 = 43,986.94/x
  3. Step 3: Cross multiply
    29,786.63x = 43,986.94 × 43,986.94
  4. Step 4: Simplify right side
    29,786.63x = 1,934,850,670.63
  5. Step 5: Solve for x
    x = 1,934,850,670.63/29,786.63
  6. Step 6: Final answer
    x = 64,957.03

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.