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Finding the Third Proportional to 34,682 and 53,806

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Solution

The third proportional to 34,682 and 53,806 is: 83,475.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,682 : 53,806 = 53,806 : x
  2. Step 2: Convert to fraction form
    34,682/53,806 = 53,806/x
  3. Step 3: Cross multiply
    34,682x = 53,806 × 53,806
  4. Step 4: Simplify right side
    34,682x = 2,895,085,636
  5. Step 5: Solve for x
    x = 2,895,085,636/34,682
  6. Step 6: Final answer
    x = 83,475.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.