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Finding the Third Proportional to 29,986 and 43,827

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Solution

The third proportional to 29,986 and 43,827 is: 64,056.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,986 : 43,827 = 43,827 : x
  2. Step 2: Convert to fraction form
    29,986/43,827 = 43,827/x
  3. Step 3: Cross multiply
    29,986x = 43,827 × 43,827
  4. Step 4: Simplify right side
    29,986x = 1,920,805,929
  5. Step 5: Solve for x
    x = 1,920,805,929/29,986
  6. Step 6: Final answer
    x = 64,056.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.