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Finding the Third Proportional to 26,321 and 50,216

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Solution

The third proportional to 26,321 and 50,216 is: 95,803.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,321 : 50,216 = 50,216 : x
  2. Step 2: Convert to fraction form
    26,321/50,216 = 50,216/x
  3. Step 3: Cross multiply
    26,321x = 50,216 × 50,216
  4. Step 4: Simplify right side
    26,321x = 2,521,646,656
  5. Step 5: Solve for x
    x = 2,521,646,656/26,321
  6. Step 6: Final answer
    x = 95,803.60

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.