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Finding the Third Proportional to 23,412 and 50,712

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Solution

The third proportional to 23,412 and 50,712 is: 109,845.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,412 : 50,712 = 50,712 : x
  2. Step 2: Convert to fraction form
    23,412/50,712 = 50,712/x
  3. Step 3: Cross multiply
    23,412x = 50,712 × 50,712
  4. Step 4: Simplify right side
    23,412x = 2,571,706,944
  5. Step 5: Solve for x
    x = 2,571,706,944/23,412
  6. Step 6: Final answer
    x = 109,845.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.