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Finding the Third Proportional to 26,820 and 35,276

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Solution

The third proportional to 26,820 and 35,276 is: 46,398.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,820 : 35,276 = 35,276 : x
  2. Step 2: Convert to fraction form
    26,820/35,276 = 35,276/x
  3. Step 3: Cross multiply
    26,820x = 35,276 × 35,276
  4. Step 4: Simplify right side
    26,820x = 1,244,396,176
  5. Step 5: Solve for x
    x = 1,244,396,176/26,820
  6. Step 6: Final answer
    x = 46,398.07

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.