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Finding the Third Proportional to 10,035 and 23,229

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Solution

The third proportional to 10,035 and 23,229 is: 53,770.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,035 : 23,229 = 23,229 : x
  2. Step 2: Convert to fraction form
    10,035/23,229 = 23,229/x
  3. Step 3: Cross multiply
    10,035x = 23,229 × 23,229
  4. Step 4: Simplify right side
    10,035x = 539,586,441
  5. Step 5: Solve for x
    x = 539,586,441/10,035
  6. Step 6: Final answer
    x = 53,770.45

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.