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Finding the Third Proportional to 27,469.50 and 58,827

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Solution

The third proportional to 27,469.50 and 58,827 is: 125,980.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,469.50 : 58,827 = 58,827 : x
  2. Step 2: Convert to fraction form
    27,469.50/58,827 = 58,827/x
  3. Step 3: Cross multiply
    27,469.50x = 58,827 × 58,827
  4. Step 4: Simplify right side
    27,469.50x = 3,460,615,929
  5. Step 5: Solve for x
    x = 3,460,615,929/27,469.50
  6. Step 6: Final answer
    x = 125,980.30

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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.