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Finding the Third Proportional to 18,628 and 28,182.75

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Solution

The third proportional to 18,628 and 28,182.75 is: 42,638.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,628 : 28,182.75 = 28,182.75 : x
  2. Step 2: Convert to fraction form
    18,628/28,182.75 = 28,182.75/x
  3. Step 3: Cross multiply
    18,628x = 28,182.75 × 28,182.75
  4. Step 4: Simplify right side
    18,628x = 794,267,397.56
  5. Step 5: Solve for x
    x = 794,267,397.56/18,628
  6. Step 6: Final answer
    x = 42,638.36

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.