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Finding the Third Proportional to 1,635.19 and 2,447.72

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Solution

The third proportional to 1,635.19 and 2,447.72 is: 3,664.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.19 : 2,447.72 = 2,447.72 : x
  2. Step 2: Convert to fraction form
    1,635.19/2,447.72 = 2,447.72/x
  3. Step 3: Cross multiply
    1,635.19x = 2,447.72 × 2,447.72
  4. Step 4: Simplify right side
    1,635.19x = 5,991,327.08
  5. Step 5: Solve for x
    x = 5,991,327.08/1,635.19
  6. Step 6: Final answer
    x = 3,664.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.