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Finding the Third Proportional to 23,004 and 53,757

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Solution

The third proportional to 23,004 and 53,757 is: 125,622.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,004 : 53,757 = 53,757 : x
  2. Step 2: Convert to fraction form
    23,004/53,757 = 53,757/x
  3. Step 3: Cross multiply
    23,004x = 53,757 × 53,757
  4. Step 4: Simplify right side
    23,004x = 2,889,815,049
  5. Step 5: Solve for x
    x = 2,889,815,049/23,004
  6. Step 6: Final answer
    x = 125,622.29

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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.