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Finding the Third Proportional to 11,383 and 23,332

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Solution

The third proportional to 11,383 and 23,332 is: 47,824.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,383 : 23,332 = 23,332 : x
  2. Step 2: Convert to fraction form
    11,383/23,332 = 23,332/x
  3. Step 3: Cross multiply
    11,383x = 23,332 × 23,332
  4. Step 4: Simplify right side
    11,383x = 544,382,224
  5. Step 5: Solve for x
    x = 544,382,224/11,383
  6. Step 6: Final answer
    x = 47,824.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.