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Finding the Third Proportional to 23,048 and 53,972

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Solution

The third proportional to 23,048 and 53,972 is: 126,387.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,048 : 53,972 = 53,972 : x
  2. Step 2: Convert to fraction form
    23,048/53,972 = 53,972/x
  3. Step 3: Cross multiply
    23,048x = 53,972 × 53,972
  4. Step 4: Simplify right side
    23,048x = 2,912,976,784
  5. Step 5: Solve for x
    x = 2,912,976,784/23,048
  6. Step 6: Final answer
    x = 126,387.40

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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.