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Finding the Third Proportional to 11,685 and 25,313

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Solution

The third proportional to 11,685 and 25,313 is: 54,835.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,685 : 25,313 = 25,313 : x
  2. Step 2: Convert to fraction form
    11,685/25,313 = 25,313/x
  3. Step 3: Cross multiply
    11,685x = 25,313 × 25,313
  4. Step 4: Simplify right side
    11,685x = 640,747,969
  5. Step 5: Solve for x
    x = 640,747,969/11,685
  6. Step 6: Final answer
    x = 54,835.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.