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Finding the Third Proportional to 26,152 and 53,816

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Solution

The third proportional to 26,152 and 53,816 is: 110,743.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,152 : 53,816 = 53,816 : x
  2. Step 2: Convert to fraction form
    26,152/53,816 = 53,816/x
  3. Step 3: Cross multiply
    26,152x = 53,816 × 53,816
  4. Step 4: Simplify right side
    26,152x = 2,896,161,856
  5. Step 5: Solve for x
    x = 2,896,161,856/26,152
  6. Step 6: Final answer
    x = 110,743.42

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.