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Finding the Third Proportional to 23,102 and 49,485

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Solution

The third proportional to 23,102 and 49,485 is: 105,997.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,102 : 49,485 = 49,485 : x
  2. Step 2: Convert to fraction form
    23,102/49,485 = 49,485/x
  3. Step 3: Cross multiply
    23,102x = 49,485 × 49,485
  4. Step 4: Simplify right side
    23,102x = 2,448,765,225
  5. Step 5: Solve for x
    x = 2,448,765,225/23,102
  6. Step 6: Final answer
    x = 105,997.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.