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Finding the Third Proportional to 23,052 and 53,982

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Solution

The third proportional to 23,052 and 53,982 is: 126,412.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,052 : 53,982 = 53,982 : x
  2. Step 2: Convert to fraction form
    23,052/53,982 = 53,982/x
  3. Step 3: Cross multiply
    23,052x = 53,982 × 53,982
  4. Step 4: Simplify right side
    23,052x = 2,914,056,324
  5. Step 5: Solve for x
    x = 2,914,056,324/23,052
  6. Step 6: Final answer
    x = 126,412.30

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.