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Finding the Third Proportional to 11,382 and 25,356

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Solution

The third proportional to 11,382 and 25,356 is: 56,486.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382 : 25,356 = 25,356 : x
  2. Step 2: Convert to fraction form
    11,382/25,356 = 25,356/x
  3. Step 3: Cross multiply
    11,382x = 25,356 × 25,356
  4. Step 4: Simplify right side
    11,382x = 642,926,736
  5. Step 5: Solve for x
    x = 642,926,736/11,382
  6. Step 6: Final answer
    x = 56,486.27

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.