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Finding the Third Proportional to 24,953 and 53,863

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Solution

The third proportional to 24,953 and 53,863 is: 116,267.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,953 : 53,863 = 53,863 : x
  2. Step 2: Convert to fraction form
    24,953/53,863 = 53,863/x
  3. Step 3: Cross multiply
    24,953x = 53,863 × 53,863
  4. Step 4: Simplify right side
    24,953x = 2,901,222,769
  5. Step 5: Solve for x
    x = 2,901,222,769/24,953
  6. Step 6: Final answer
    x = 116,267.49

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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.