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Finding the Third Proportional to 5,939.16 and 12,905.16

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Solution

The third proportional to 5,939.16 and 12,905.16 is: 28,041.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,939.16 : 12,905.16 = 12,905.16 : x
  2. Step 2: Convert to fraction form
    5,939.16/12,905.16 = 12,905.16/x
  3. Step 3: Cross multiply
    5,939.16x = 12,905.16 × 12,905.16
  4. Step 4: Simplify right side
    5,939.16x = 166,543,057.84
  5. Step 5: Solve for x
    x = 166,543,057.84/5,939.16
  6. Step 6: Final answer
    x = 28,041.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.