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Finding the Third Proportional to 25,214 and 54,460

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Solution

The third proportional to 25,214 and 54,460 is: 117,628.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,214 : 54,460 = 54,460 : x
  2. Step 2: Convert to fraction form
    25,214/54,460 = 54,460/x
  3. Step 3: Cross multiply
    25,214x = 54,460 × 54,460
  4. Step 4: Simplify right side
    25,214x = 2,965,891,600
  5. Step 5: Solve for x
    x = 2,965,891,600/25,214
  6. Step 6: Final answer
    x = 117,628.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.