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Finding the Third Proportional to 22,058 and 51,683

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Solution

The third proportional to 22,058 and 51,683 is: 121,095.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,058 : 51,683 = 51,683 : x
  2. Step 2: Convert to fraction form
    22,058/51,683 = 51,683/x
  3. Step 3: Cross multiply
    22,058x = 51,683 × 51,683
  4. Step 4: Simplify right side
    22,058x = 2,671,132,489
  5. Step 5: Solve for x
    x = 2,671,132,489/22,058
  6. Step 6: Final answer
    x = 121,095.86

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.