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Finding the Third Proportional to 53,163 and 58,131

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Solution

The third proportional to 53,163 and 58,131 is: 63,563.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,163 : 58,131 = 58,131 : x
  2. Step 2: Convert to fraction form
    53,163/58,131 = 58,131/x
  3. Step 3: Cross multiply
    53,163x = 58,131 × 58,131
  4. Step 4: Simplify right side
    53,163x = 3,379,213,161
  5. Step 5: Solve for x
    x = 3,379,213,161/53,163
  6. Step 6: Final answer
    x = 63,563.25

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.