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Finding the Third Proportional to 27,470 and 58,828

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Solution

The third proportional to 27,470 and 58,828 is: 125,982.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,470 : 58,828 = 58,828 : x
  2. Step 2: Convert to fraction form
    27,470/58,828 = 58,828/x
  3. Step 3: Cross multiply
    27,470x = 58,828 × 58,828
  4. Step 4: Simplify right side
    27,470x = 3,460,733,584
  5. Step 5: Solve for x
    x = 3,460,733,584/27,470
  6. Step 6: Final answer
    x = 125,982.29

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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.