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Finding the Third Proportional to 29,430 and 63,099

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Solution

The third proportional to 29,430 and 63,099 is: 135,286.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,430 : 63,099 = 63,099 : x
  2. Step 2: Convert to fraction form
    29,430/63,099 = 63,099/x
  3. Step 3: Cross multiply
    29,430x = 63,099 × 63,099
  4. Step 4: Simplify right side
    29,430x = 3,981,483,801
  5. Step 5: Solve for x
    x = 3,981,483,801/29,430
  6. Step 6: Final answer
    x = 135,286.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.