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Finding the Third Proportional to 5,580.38 and 11,735.25

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Solution

The third proportional to 5,580.38 and 11,735.25 is: 24,678.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,580.38 : 11,735.25 = 11,735.25 : x
  2. Step 2: Convert to fraction form
    5,580.38/11,735.25 = 11,735.25/x
  3. Step 3: Cross multiply
    5,580.38x = 11,735.25 × 11,735.25
  4. Step 4: Simplify right side
    5,580.38x = 137,716,092.56
  5. Step 5: Solve for x
    x = 137,716,092.56/5,580.38
  6. Step 6: Final answer
    x = 24,678.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.