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Finding the Third Proportional to 4,672.31 and 7,145.25

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Solution

The third proportional to 4,672.31 and 7,145.25 is: 10,927.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.31 : 7,145.25 = 7,145.25 : x
  2. Step 2: Convert to fraction form
    4,672.31/7,145.25 = 7,145.25/x
  3. Step 3: Cross multiply
    4,672.31x = 7,145.25 × 7,145.25
  4. Step 4: Simplify right side
    4,672.31x = 51,054,597.56
  5. Step 5: Solve for x
    x = 51,054,597.56/4,672.31
  6. Step 6: Final answer
    x = 10,927.05

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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.