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Finding the Third Proportional to 27,428 and 58,741

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Solution

The third proportional to 27,428 and 58,741 is: 125,802.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,428 : 58,741 = 58,741 : x
  2. Step 2: Convert to fraction form
    27,428/58,741 = 58,741/x
  3. Step 3: Cross multiply
    27,428x = 58,741 × 58,741
  4. Step 4: Simplify right side
    27,428x = 3,450,505,081
  5. Step 5: Solve for x
    x = 3,450,505,081/27,428
  6. Step 6: Final answer
    x = 125,802.29

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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.