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Finding the Third Proportional to 10,656 and 23,238

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Solution

The third proportional to 10,656 and 23,238 is: 50,676.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656 : 23,238 = 23,238 : x
  2. Step 2: Convert to fraction form
    10,656/23,238 = 23,238/x
  3. Step 3: Cross multiply
    10,656x = 23,238 × 23,238
  4. Step 4: Simplify right side
    10,656x = 540,004,644
  5. Step 5: Solve for x
    x = 540,004,644/10,656
  6. Step 6: Final answer
    x = 50,676.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.