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Finding the Third Proportional to 26,648 and 58,264

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Solution

The third proportional to 26,648 and 58,264 is: 127,390.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,648 : 58,264 = 58,264 : x
  2. Step 2: Convert to fraction form
    26,648/58,264 = 58,264/x
  3. Step 3: Cross multiply
    26,648x = 58,264 × 58,264
  4. Step 4: Simplify right side
    26,648x = 3,394,693,696
  5. Step 5: Solve for x
    x = 3,394,693,696/26,648
  6. Step 6: Final answer
    x = 127,390.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.