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Finding the Third Proportional to 23,422 and 51,224

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Solution

The third proportional to 23,422 and 51,224 is: 112,027.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,422 : 51,224 = 51,224 : x
  2. Step 2: Convert to fraction form
    23,422/51,224 = 51,224/x
  3. Step 3: Cross multiply
    23,422x = 51,224 × 51,224
  4. Step 4: Simplify right side
    23,422x = 2,623,898,176
  5. Step 5: Solve for x
    x = 2,623,898,176/23,422
  6. Step 6: Final answer
    x = 112,027.08

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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.