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Finding the Third Proportional to 26,058 and 38,219

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Solution

The third proportional to 26,058 and 38,219 is: 56,055.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,058 : 38,219 = 38,219 : x
  2. Step 2: Convert to fraction form
    26,058/38,219 = 38,219/x
  3. Step 3: Cross multiply
    26,058x = 38,219 × 38,219
  4. Step 4: Simplify right side
    26,058x = 1,460,691,961
  5. Step 5: Solve for x
    x = 1,460,691,961/26,058
  6. Step 6: Final answer
    x = 56,055.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.