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Finding the Third Proportional to 1,923.59 and 4,154.73

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Solution

The third proportional to 1,923.59 and 4,154.73 is: 8,973.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.59 : 4,154.73 = 4,154.73 : x
  2. Step 2: Convert to fraction form
    1,923.59/4,154.73 = 4,154.73/x
  3. Step 3: Cross multiply
    1,923.59x = 4,154.73 × 4,154.73
  4. Step 4: Simplify right side
    1,923.59x = 17,261,785.27
  5. Step 5: Solve for x
    x = 17,261,785.27/1,923.59
  6. Step 6: Final answer
    x = 8,973.73

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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.