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Finding the Third Proportional to 23,000 and 49,168

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Solution

The third proportional to 23,000 and 49,168 is: 105,108.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,000 : 49,168 = 49,168 : x
  2. Step 2: Convert to fraction form
    23,000/49,168 = 49,168/x
  3. Step 3: Cross multiply
    23,000x = 49,168 × 49,168
  4. Step 4: Simplify right side
    23,000x = 2,417,492,224
  5. Step 5: Solve for x
    x = 2,417,492,224/23,000
  6. Step 6: Final answer
    x = 105,108.36

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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.