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Finding the Third Proportional to 27,429 and 58,740

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Solution

The third proportional to 27,429 and 58,740 is: 125,793.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,429 : 58,740 = 58,740 : x
  2. Step 2: Convert to fraction form
    27,429/58,740 = 58,740/x
  3. Step 3: Cross multiply
    27,429x = 58,740 × 58,740
  4. Step 4: Simplify right side
    27,429x = 3,450,387,600
  5. Step 5: Solve for x
    x = 3,450,387,600/27,429
  6. Step 6: Final answer
    x = 125,793.42

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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.