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Finding the Third Proportional to 11,746 and 27,729

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Solution

The third proportional to 11,746 and 27,729 is: 65,460.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,746 : 27,729 = 27,729 : x
  2. Step 2: Convert to fraction form
    11,746/27,729 = 27,729/x
  3. Step 3: Cross multiply
    11,746x = 27,729 × 27,729
  4. Step 4: Simplify right side
    11,746x = 768,897,441
  5. Step 5: Solve for x
    x = 768,897,441/11,746
  6. Step 6: Final answer
    x = 65,460.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.