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Finding the Third Proportional to 23,004 and 48,324

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Solution

The third proportional to 23,004 and 48,324 is: 101,513.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,004 : 48,324 = 48,324 : x
  2. Step 2: Convert to fraction form
    23,004/48,324 = 48,324/x
  3. Step 3: Cross multiply
    23,004x = 48,324 × 48,324
  4. Step 4: Simplify right side
    23,004x = 2,335,208,976
  5. Step 5: Solve for x
    x = 2,335,208,976/23,004
  6. Step 6: Final answer
    x = 101,513.17

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.