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Finding the Third Proportional to 7,441.99 and 15,907.54

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Solution

The third proportional to 7,441.99 and 15,907.54 is: 34,002.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.99 : 15,907.54 = 15,907.54 : x
  2. Step 2: Convert to fraction form
    7,441.99/15,907.54 = 15,907.54/x
  3. Step 3: Cross multiply
    7,441.99x = 15,907.54 × 15,907.54
  4. Step 4: Simplify right side
    7,441.99x = 253,049,884.47
  5. Step 5: Solve for x
    x = 253,049,884.47/7,441.99
  6. Step 6: Final answer
    x = 34,002.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.