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Finding the Third Proportional to 27,122 and 58,564

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Solution

The third proportional to 27,122 and 58,564 is: 126,456.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,122 : 58,564 = 58,564 : x
  2. Step 2: Convert to fraction form
    27,122/58,564 = 58,564/x
  3. Step 3: Cross multiply
    27,122x = 58,564 × 58,564
  4. Step 4: Simplify right side
    27,122x = 3,429,742,096
  5. Step 5: Solve for x
    x = 3,429,742,096/27,122
  6. Step 6: Final answer
    x = 126,456.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.