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Finding the Third Proportional to 6,459.75 and 11,674.13

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Solution

The third proportional to 6,459.75 and 11,674.13 is: 21,097.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.75 : 11,674.13 = 11,674.13 : x
  2. Step 2: Convert to fraction form
    6,459.75/11,674.13 = 11,674.13/x
  3. Step 3: Cross multiply
    6,459.75x = 11,674.13 × 11,674.13
  4. Step 4: Simplify right side
    6,459.75x = 136,285,194.52
  5. Step 5: Solve for x
    x = 136,285,194.52/6,459.75
  6. Step 6: Final answer
    x = 21,097.60

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.