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Finding the Third Proportional to 37,621 and 88,804

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Solution

The third proportional to 37,621 and 88,804 is: 209,620.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,621 : 88,804 = 88,804 : x
  2. Step 2: Convert to fraction form
    37,621/88,804 = 88,804/x
  3. Step 3: Cross multiply
    37,621x = 88,804 × 88,804
  4. Step 4: Simplify right side
    37,621x = 7,886,150,416
  5. Step 5: Solve for x
    x = 7,886,150,416/37,621
  6. Step 6: Final answer
    x = 209,620.97

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.