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Finding the Third Proportional to 11,574 and 25,296

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Solution

The third proportional to 11,574 and 25,296 is: 55,286.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574 : 25,296 = 25,296 : x
  2. Step 2: Convert to fraction form
    11,574/25,296 = 25,296/x
  3. Step 3: Cross multiply
    11,574x = 25,296 × 25,296
  4. Step 4: Simplify right side
    11,574x = 639,887,616
  5. Step 5: Solve for x
    x = 639,887,616/11,574
  6. Step 6: Final answer
    x = 55,286.64

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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.