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Finding the Third Proportional to 25,321 and 27,427

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Solution

The third proportional to 25,321 and 27,427 is: 29,708.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,321 : 27,427 = 27,427 : x
  2. Step 2: Convert to fraction form
    25,321/27,427 = 27,427/x
  3. Step 3: Cross multiply
    25,321x = 27,427 × 27,427
  4. Step 4: Simplify right side
    25,321x = 752,240,329
  5. Step 5: Solve for x
    x = 752,240,329/25,321
  6. Step 6: Final answer
    x = 29,708.16

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.