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Finding the Third Proportional to 34,677 and 52,167

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Solution

The third proportional to 34,677 and 52,167 is: 78,478.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,677 : 52,167 = 52,167 : x
  2. Step 2: Convert to fraction form
    34,677/52,167 = 52,167/x
  3. Step 3: Cross multiply
    34,677x = 52,167 × 52,167
  4. Step 4: Simplify right side
    34,677x = 2,721,395,889
  5. Step 5: Solve for x
    x = 2,721,395,889/34,677
  6. Step 6: Final answer
    x = 78,478.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.