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Finding the Third Proportional to 11,435 and 25,007

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Solution

The third proportional to 11,435 and 25,007 is: 54,687.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,435 : 25,007 = 25,007 : x
  2. Step 2: Convert to fraction form
    11,435/25,007 = 25,007/x
  3. Step 3: Cross multiply
    11,435x = 25,007 × 25,007
  4. Step 4: Simplify right side
    11,435x = 625,350,049
  5. Step 5: Solve for x
    x = 625,350,049/11,435
  6. Step 6: Final answer
    x = 54,687.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.