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Finding the Third Proportional to 25,260 and 54,816

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Solution

The third proportional to 25,260 and 54,816 is: 118,954.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,260 : 54,816 = 54,816 : x
  2. Step 2: Convert to fraction form
    25,260/54,816 = 54,816/x
  3. Step 3: Cross multiply
    25,260x = 54,816 × 54,816
  4. Step 4: Simplify right side
    25,260x = 3,004,793,856
  5. Step 5: Solve for x
    x = 3,004,793,856/25,260
  6. Step 6: Final answer
    x = 118,954.63

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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.