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Finding the Third Proportional to 20,050 and 26,778

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Solution

The third proportional to 20,050 and 26,778 is: 35,763.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,050 : 26,778 = 26,778 : x
  2. Step 2: Convert to fraction form
    20,050/26,778 = 26,778/x
  3. Step 3: Cross multiply
    20,050x = 26,778 × 26,778
  4. Step 4: Simplify right side
    20,050x = 717,061,284
  5. Step 5: Solve for x
    x = 717,061,284/20,050
  6. Step 6: Final answer
    x = 35,763.66

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1.5x scale

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.