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Finding the Third Proportional to 25,208 and 53,816

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Solution

The third proportional to 25,208 and 53,816 is: 114,890.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,208 : 53,816 = 53,816 : x
  2. Step 2: Convert to fraction form
    25,208/53,816 = 53,816/x
  3. Step 3: Cross multiply
    25,208x = 53,816 × 53,816
  4. Step 4: Simplify right side
    25,208x = 2,896,161,856
  5. Step 5: Solve for x
    x = 2,896,161,856/25,208
  6. Step 6: Final answer
    x = 114,890.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.