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Finding the Third Proportional to 27,471 and 58,830

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Solution

The third proportional to 27,471 and 58,830 is: 125,986.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,471 : 58,830 = 58,830 : x
  2. Step 2: Convert to fraction form
    27,471/58,830 = 58,830/x
  3. Step 3: Cross multiply
    27,471x = 58,830 × 58,830
  4. Step 4: Simplify right side
    27,471x = 3,460,968,900
  5. Step 5: Solve for x
    x = 3,460,968,900/27,471
  6. Step 6: Final answer
    x = 125,986.27

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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.