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Finding the Third Proportional to 10,764 and 23,972

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Solution

The third proportional to 10,764 and 23,972 is: 53,386.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,764 : 23,972 = 23,972 : x
  2. Step 2: Convert to fraction form
    10,764/23,972 = 23,972/x
  3. Step 3: Cross multiply
    10,764x = 23,972 × 23,972
  4. Step 4: Simplify right side
    10,764x = 574,656,784
  5. Step 5: Solve for x
    x = 574,656,784/10,764
  6. Step 6: Final answer
    x = 53,386.92

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.