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Finding the Third Proportional to 22,072 and 52,058

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Solution

The third proportional to 22,072 and 52,058 is: 122,781.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,072 : 52,058 = 52,058 : x
  2. Step 2: Convert to fraction form
    22,072/52,058 = 52,058/x
  3. Step 3: Cross multiply
    22,072x = 52,058 × 52,058
  4. Step 4: Simplify right side
    22,072x = 2,710,035,364
  5. Step 5: Solve for x
    x = 2,710,035,364/22,072
  6. Step 6: Final answer
    x = 122,781.59

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.