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Finding the Third Proportional to 12,896.30 and 27,345.09

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Solution

The third proportional to 12,896.30 and 27,345.09 is: 57,982.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896.30 : 27,345.09 = 27,345.09 : x
  2. Step 2: Convert to fraction form
    12,896.30/27,345.09 = 27,345.09/x
  3. Step 3: Cross multiply
    12,896.30x = 27,345.09 × 27,345.09
  4. Step 4: Simplify right side
    12,896.30x = 747,754,152.20
  5. Step 5: Solve for x
    x = 747,754,152.20/12,896.30
  6. Step 6: Final answer
    x = 57,982.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.