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Finding the Third Proportional to 26,951 and 58,621

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Solution

The third proportional to 26,951 and 58,621 is: 127,506.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,951 : 58,621 = 58,621 : x
  2. Step 2: Convert to fraction form
    26,951/58,621 = 58,621/x
  3. Step 3: Cross multiply
    26,951x = 58,621 × 58,621
  4. Step 4: Simplify right side
    26,951x = 3,436,421,641
  5. Step 5: Solve for x
    x = 3,436,421,641/26,951
  6. Step 6: Final answer
    x = 127,506.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.