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Finding the Third Proportional to 1,921.59 and 4,145.91

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Solution

The third proportional to 1,921.59 and 4,145.91 is: 8,944.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.59 : 4,145.91 = 4,145.91 : x
  2. Step 2: Convert to fraction form
    1,921.59/4,145.91 = 4,145.91/x
  3. Step 3: Cross multiply
    1,921.59x = 4,145.91 × 4,145.91
  4. Step 4: Simplify right side
    1,921.59x = 17,188,538.63
  5. Step 5: Solve for x
    x = 17,188,538.63/1,921.59
  6. Step 6: Final answer
    x = 8,944.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.