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Finding the Third Proportional to 5,960.25 and 14,090.63

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Solution

The third proportional to 5,960.25 and 14,090.63 is: 33,311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,960.25 : 14,090.63 = 14,090.63 : x
  2. Step 2: Convert to fraction form
    5,960.25/14,090.63 = 14,090.63/x
  3. Step 3: Cross multiply
    5,960.25x = 14,090.63 × 14,090.63
  4. Step 4: Simplify right side
    5,960.25x = 198,545,712.89
  5. Step 5: Solve for x
    x = 198,545,712.89/5,960.25
  6. Step 6: Final answer
    x = 33,311.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.