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Finding the Third Proportional to 26,833 and 58,276

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Solution

The third proportional to 26,833 and 58,276 is: 126,564.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,833 : 58,276 = 58,276 : x
  2. Step 2: Convert to fraction form
    26,833/58,276 = 58,276/x
  3. Step 3: Cross multiply
    26,833x = 58,276 × 58,276
  4. Step 4: Simplify right side
    26,833x = 3,396,092,176
  5. Step 5: Solve for x
    x = 3,396,092,176/26,833
  6. Step 6: Final answer
    x = 126,564.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.