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Finding the Third Proportional to 16,349 and 35,806

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Solution

The third proportional to 16,349 and 35,806 is: 78,418.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,349 : 35,806 = 35,806 : x
  2. Step 2: Convert to fraction form
    16,349/35,806 = 35,806/x
  3. Step 3: Cross multiply
    16,349x = 35,806 × 35,806
  4. Step 4: Simplify right side
    16,349x = 1,282,069,636
  5. Step 5: Solve for x
    x = 1,282,069,636/16,349
  6. Step 6: Final answer
    x = 78,418.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.