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Finding the Third Proportional to 27,383.50 and 59,699

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Solution

The third proportional to 27,383.50 and 59,699 is: 130,150.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,383.50 : 59,699 = 59,699 : x
  2. Step 2: Convert to fraction form
    27,383.50/59,699 = 59,699/x
  3. Step 3: Cross multiply
    27,383.50x = 59,699 × 59,699
  4. Step 4: Simplify right side
    27,383.50x = 3,563,970,601
  5. Step 5: Solve for x
    x = 3,563,970,601/27,383.50
  6. Step 6: Final answer
    x = 130,150.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.