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Finding the Third Proportional to 27,924 and 65,867

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Solution

The third proportional to 27,924 and 65,867 is: 155,366.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,924 : 65,867 = 65,867 : x
  2. Step 2: Convert to fraction form
    27,924/65,867 = 65,867/x
  3. Step 3: Cross multiply
    27,924x = 65,867 × 65,867
  4. Step 4: Simplify right side
    27,924x = 4,338,461,689
  5. Step 5: Solve for x
    x = 4,338,461,689/27,924
  6. Step 6: Final answer
    x = 155,366.77

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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.