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Finding the Third Proportional to 26,780 and 35,778

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Solution

The third proportional to 26,780 and 35,778 is: 47,799.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,780 : 35,778 = 35,778 : x
  2. Step 2: Convert to fraction form
    26,780/35,778 = 35,778/x
  3. Step 3: Cross multiply
    26,780x = 35,778 × 35,778
  4. Step 4: Simplify right side
    26,780x = 1,280,065,284
  5. Step 5: Solve for x
    x = 1,280,065,284/26,780
  6. Step 6: Final answer
    x = 47,799.30

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.