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Finding the Third Proportional to 35,109 and 62,430

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Solution

The third proportional to 35,109 and 62,430 is: 111,011.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,109 : 62,430 = 62,430 : x
  2. Step 2: Convert to fraction form
    35,109/62,430 = 62,430/x
  3. Step 3: Cross multiply
    35,109x = 62,430 × 62,430
  4. Step 4: Simplify right side
    35,109x = 3,897,504,900
  5. Step 5: Solve for x
    x = 3,897,504,900/35,109
  6. Step 6: Final answer
    x = 111,011.56

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.