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Finding the Third Proportional to 11,907.38 and 25,455

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Solution

The third proportional to 11,907.38 and 25,455 is: 54,416.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.38 : 25,455 = 25,455 : x
  2. Step 2: Convert to fraction form
    11,907.38/25,455 = 25,455/x
  3. Step 3: Cross multiply
    11,907.38x = 25,455 × 25,455
  4. Step 4: Simplify right side
    11,907.38x = 647,957,025
  5. Step 5: Solve for x
    x = 647,957,025/11,907.38
  6. Step 6: Final answer
    x = 54,416.45

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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.