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Finding the Third Proportional to 23,973 and 53,186

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Solution

The third proportional to 23,973 and 53,186 is: 117,997.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,973 : 53,186 = 53,186 : x
  2. Step 2: Convert to fraction form
    23,973/53,186 = 53,186/x
  3. Step 3: Cross multiply
    23,973x = 53,186 × 53,186
  4. Step 4: Simplify right side
    23,973x = 2,828,750,596
  5. Step 5: Solve for x
    x = 2,828,750,596/23,973
  6. Step 6: Final answer
    x = 117,997.36

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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.