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Finding the Third Proportional to 32,846 and 52,167

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Solution

The third proportional to 32,846 and 52,167 is: 82,853.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,846 : 52,167 = 52,167 : x
  2. Step 2: Convert to fraction form
    32,846/52,167 = 52,167/x
  3. Step 3: Cross multiply
    32,846x = 52,167 × 52,167
  4. Step 4: Simplify right side
    32,846x = 2,721,395,889
  5. Step 5: Solve for x
    x = 2,721,395,889/32,846
  6. Step 6: Final answer
    x = 82,853.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.