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Finding the Third Proportional to 34,538 and 52,806

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Solution

The third proportional to 34,538 and 52,806 is: 80,736.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,538 : 52,806 = 52,806 : x
  2. Step 2: Convert to fraction form
    34,538/52,806 = 52,806/x
  3. Step 3: Cross multiply
    34,538x = 52,806 × 52,806
  4. Step 4: Simplify right side
    34,538x = 2,788,473,636
  5. Step 5: Solve for x
    x = 2,788,473,636/34,538
  6. Step 6: Final answer
    x = 80,736.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.