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Finding the Third Proportional to 24,014 and 53,204

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Solution

The third proportional to 24,014 and 53,204 is: 117,875.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,014 : 53,204 = 53,204 : x
  2. Step 2: Convert to fraction form
    24,014/53,204 = 53,204/x
  3. Step 3: Cross multiply
    24,014x = 53,204 × 53,204
  4. Step 4: Simplify right side
    24,014x = 2,830,665,616
  5. Step 5: Solve for x
    x = 2,830,665,616/24,014
  6. Step 6: Final answer
    x = 117,875.64

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.