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Finding the Third Proportional to 5,485.01 and 11,623.71

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Solution

The third proportional to 5,485.01 and 11,623.71 is: 24,632.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,485.01 : 11,623.71 = 11,623.71 : x
  2. Step 2: Convert to fraction form
    5,485.01/11,623.71 = 11,623.71/x
  3. Step 3: Cross multiply
    5,485.01x = 11,623.71 × 11,623.71
  4. Step 4: Simplify right side
    5,485.01x = 135,110,655.96
  5. Step 5: Solve for x
    x = 135,110,655.96/5,485.01
  6. Step 6: Final answer
    x = 24,632.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.