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Finding the Third Proportional to 15,018 and 34,806

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Solution

The third proportional to 15,018 and 34,806 is: 80,667.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,018 : 34,806 = 34,806 : x
  2. Step 2: Convert to fraction form
    15,018/34,806 = 34,806/x
  3. Step 3: Cross multiply
    15,018x = 34,806 × 34,806
  4. Step 4: Simplify right side
    15,018x = 1,211,457,636
  5. Step 5: Solve for x
    x = 1,211,457,636/15,018
  6. Step 6: Final answer
    x = 80,667.04

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.