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Finding the Third Proportional to 1,923.12 and 4,527.77

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Solution

The third proportional to 1,923.12 and 4,527.77 is: 10,660.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.12 : 4,527.77 = 4,527.77 : x
  2. Step 2: Convert to fraction form
    1,923.12/4,527.77 = 4,527.77/x
  3. Step 3: Cross multiply
    1,923.12x = 4,527.77 × 4,527.77
  4. Step 4: Simplify right side
    1,923.12x = 20,500,732.30
  5. Step 5: Solve for x
    x = 20,500,732.30/1,923.12
  6. Step 6: Final answer
    x = 10,660.16

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.