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Finding the Third Proportional to 23,046 and 50,502

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Solution

The third proportional to 23,046 and 50,502 is: 110,667.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,046 : 50,502 = 50,502 : x
  2. Step 2: Convert to fraction form
    23,046/50,502 = 50,502/x
  3. Step 3: Cross multiply
    23,046x = 50,502 × 50,502
  4. Step 4: Simplify right side
    23,046x = 2,550,452,004
  5. Step 5: Solve for x
    x = 2,550,452,004/23,046
  6. Step 6: Final answer
    x = 110,667.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.