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Finding the Third Proportional to 1,944.63 and 2,922.01

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Solution

The third proportional to 1,944.63 and 2,922.01 is: 4,390.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.63 : 2,922.01 = 2,922.01 : x
  2. Step 2: Convert to fraction form
    1,944.63/2,922.01 = 2,922.01/x
  3. Step 3: Cross multiply
    1,944.63x = 2,922.01 × 2,922.01
  4. Step 4: Simplify right side
    1,944.63x = 8,538,152.48
  5. Step 5: Solve for x
    x = 8,538,152.48/1,944.63
  6. Step 6: Final answer
    x = 4,390.62

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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.