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Finding the Third Proportional to 15,786 and 22,806

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Solution

The third proportional to 15,786 and 22,806 is: 32,947.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,786 : 22,806 = 22,806 : x
  2. Step 2: Convert to fraction form
    15,786/22,806 = 22,806/x
  3. Step 3: Cross multiply
    15,786x = 22,806 × 22,806
  4. Step 4: Simplify right side
    15,786x = 520,113,636
  5. Step 5: Solve for x
    x = 520,113,636/15,786
  6. Step 6: Final answer
    x = 32,947.78

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.