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Finding the Third Proportional to 27,617 and 58,909

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Solution

The third proportional to 27,617 and 58,909 is: 125,657.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,617 : 58,909 = 58,909 : x
  2. Step 2: Convert to fraction form
    27,617/58,909 = 58,909/x
  3. Step 3: Cross multiply
    27,617x = 58,909 × 58,909
  4. Step 4: Simplify right side
    27,617x = 3,470,270,281
  5. Step 5: Solve for x
    x = 3,470,270,281/27,617
  6. Step 6: Final answer
    x = 125,657.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.