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Finding the Third Proportional to 25,214 and 54,604

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Solution

The third proportional to 25,214 and 54,604 is: 118,251.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,214 : 54,604 = 54,604 : x
  2. Step 2: Convert to fraction form
    25,214/54,604 = 54,604/x
  3. Step 3: Cross multiply
    25,214x = 54,604 × 54,604
  4. Step 4: Simplify right side
    25,214x = 2,981,596,816
  5. Step 5: Solve for x
    x = 2,981,596,816/25,214
  6. Step 6: Final answer
    x = 118,251.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.