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Finding the Third Proportional to 18,645 and 27,712

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Solution

The third proportional to 18,645 and 27,712 is: 41,188.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,645 : 27,712 = 27,712 : x
  2. Step 2: Convert to fraction form
    18,645/27,712 = 27,712/x
  3. Step 3: Cross multiply
    18,645x = 27,712 × 27,712
  4. Step 4: Simplify right side
    18,645x = 767,954,944
  5. Step 5: Solve for x
    x = 767,954,944/18,645
  6. Step 6: Final answer
    x = 41,188.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.