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Finding the Third Proportional to 13,877.58 and 30,391.45

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Solution

The third proportional to 13,877.58 and 30,391.45 is: 66,556.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,877.58 : 30,391.45 = 30,391.45 : x
  2. Step 2: Convert to fraction form
    13,877.58/30,391.45 = 30,391.45/x
  3. Step 3: Cross multiply
    13,877.58x = 30,391.45 × 30,391.45
  4. Step 4: Simplify right side
    13,877.58x = 923,640,423.05
  5. Step 5: Solve for x
    x = 923,640,423.05/13,877.58
  6. Step 6: Final answer
    x = 66,556.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.