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Finding the Third Proportional to 23,002 and 36,485

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Solution

The third proportional to 23,002 and 36,485 is: 57,871.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,002 : 36,485 = 36,485 : x
  2. Step 2: Convert to fraction form
    23,002/36,485 = 36,485/x
  3. Step 3: Cross multiply
    23,002x = 36,485 × 36,485
  4. Step 4: Simplify right side
    23,002x = 1,331,155,225
  5. Step 5: Solve for x
    x = 1,331,155,225/23,002
  6. Step 6: Final answer
    x = 57,871.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.