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Finding the Third Proportional to 27,324 and 41,886

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Solution

The third proportional to 27,324 and 41,886 is: 64,208.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,324 : 41,886 = 41,886 : x
  2. Step 2: Convert to fraction form
    27,324/41,886 = 41,886/x
  3. Step 3: Cross multiply
    27,324x = 41,886 × 41,886
  4. Step 4: Simplify right side
    27,324x = 1,754,436,996
  5. Step 5: Solve for x
    x = 1,754,436,996/27,324
  6. Step 6: Final answer
    x = 64,208.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.