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Finding the Third Proportional to 7,477.31 and 15,906.38

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Solution

The third proportional to 7,477.31 and 15,906.38 is: 33,837.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.31 : 15,906.38 = 15,906.38 : x
  2. Step 2: Convert to fraction form
    7,477.31/15,906.38 = 15,906.38/x
  3. Step 3: Cross multiply
    7,477.31x = 15,906.38 × 15,906.38
  4. Step 4: Simplify right side
    7,477.31x = 253,012,765.64
  5. Step 5: Solve for x
    x = 253,012,765.64/7,477.31
  6. Step 6: Final answer
    x = 33,837.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.