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Finding the Third Proportional to 27,111 and 41,723

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Solution

The third proportional to 27,111 and 41,723 is: 64,210.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,111 : 41,723 = 41,723 : x
  2. Step 2: Convert to fraction form
    27,111/41,723 = 41,723/x
  3. Step 3: Cross multiply
    27,111x = 41,723 × 41,723
  4. Step 4: Simplify right side
    27,111x = 1,740,808,729
  5. Step 5: Solve for x
    x = 1,740,808,729/27,111
  6. Step 6: Final answer
    x = 64,210.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.