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Finding the Third Proportional to 6,490.13 and 12,003.75

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Solution

The third proportional to 6,490.13 and 12,003.75 is: 22,201.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.13 : 12,003.75 = 12,003.75 : x
  2. Step 2: Convert to fraction form
    6,490.13/12,003.75 = 12,003.75/x
  3. Step 3: Cross multiply
    6,490.13x = 12,003.75 × 12,003.75
  4. Step 4: Simplify right side
    6,490.13x = 144,090,014.06
  5. Step 5: Solve for x
    x = 144,090,014.06/6,490.13
  6. Step 6: Final answer
    x = 22,201.42

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.