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Finding the Third Proportional to 1,485.56 and 1,755.56

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Solution

The third proportional to 1,485.56 and 1,755.56 is: 2,074.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.56 : 1,755.56 = 1,755.56 : x
  2. Step 2: Convert to fraction form
    1,485.56/1,755.56 = 1,755.56/x
  3. Step 3: Cross multiply
    1,485.56x = 1,755.56 × 1,755.56
  4. Step 4: Simplify right side
    1,485.56x = 3,081,999.69
  5. Step 5: Solve for x
    x = 3,081,999.69/1,485.56
  6. Step 6: Final answer
    x = 2,074.63

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.