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Finding the Third Proportional to 18,754 and 28,627

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Solution

The third proportional to 18,754 and 28,627 is: 43,697.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,754 : 28,627 = 28,627 : x
  2. Step 2: Convert to fraction form
    18,754/28,627 = 28,627/x
  3. Step 3: Cross multiply
    18,754x = 28,627 × 28,627
  4. Step 4: Simplify right side
    18,754x = 819,505,129
  5. Step 5: Solve for x
    x = 819,505,129/18,754
  6. Step 6: Final answer
    x = 43,697.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.