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Finding the Third Proportional to 12,883.50 and 27,150.19

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Solution

The third proportional to 12,883.50 and 27,150.19 is: 57,215.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883.50 : 27,150.19 = 27,150.19 : x
  2. Step 2: Convert to fraction form
    12,883.50/27,150.19 = 27,150.19/x
  3. Step 3: Cross multiply
    12,883.50x = 27,150.19 × 27,150.19
  4. Step 4: Simplify right side
    12,883.50x = 737,132,681.29
  5. Step 5: Solve for x
    x = 737,132,681.29/12,883.50
  6. Step 6: Final answer
    x = 57,215.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.