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Finding the Third Proportional to 26,478 and 52,284

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Solution

The third proportional to 26,478 and 52,284 is: 103,241.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,478 : 52,284 = 52,284 : x
  2. Step 2: Convert to fraction form
    26,478/52,284 = 52,284/x
  3. Step 3: Cross multiply
    26,478x = 52,284 × 52,284
  4. Step 4: Simplify right side
    26,478x = 2,733,616,656
  5. Step 5: Solve for x
    x = 2,733,616,656/26,478
  6. Step 6: Final answer
    x = 103,241.06

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.