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Finding the Third Proportional to 27,574 and 59,828

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Solution

The third proportional to 27,574 and 59,828 is: 129,810.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,574 : 59,828 = 59,828 : x
  2. Step 2: Convert to fraction form
    27,574/59,828 = 59,828/x
  3. Step 3: Cross multiply
    27,574x = 59,828 × 59,828
  4. Step 4: Simplify right side
    27,574x = 3,579,389,584
  5. Step 5: Solve for x
    x = 3,579,389,584/27,574
  6. Step 6: Final answer
    x = 129,810.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.