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Finding the Third Proportional to 5,201.02 and 7,975.34

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Solution

The third proportional to 5,201.02 and 7,975.34 is: 12,229.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.02 : 7,975.34 = 7,975.34 : x
  2. Step 2: Convert to fraction form
    5,201.02/7,975.34 = 7,975.34/x
  3. Step 3: Cross multiply
    5,201.02x = 7,975.34 × 7,975.34
  4. Step 4: Simplify right side
    5,201.02x = 63,605,983.32
  5. Step 5: Solve for x
    x = 63,605,983.32/5,201.02
  6. Step 6: Final answer
    x = 12,229.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.