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Finding the Third Proportional to 12,883.13 and 27,345.75

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Solution

The third proportional to 12,883.13 and 27,345.75 is: 58,044.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883.13 : 27,345.75 = 27,345.75 : x
  2. Step 2: Convert to fraction form
    12,883.13/27,345.75 = 27,345.75/x
  3. Step 3: Cross multiply
    12,883.13x = 27,345.75 × 27,345.75
  4. Step 4: Simplify right side
    12,883.13x = 747,790,043.06
  5. Step 5: Solve for x
    x = 747,790,043.06/12,883.13
  6. Step 6: Final answer
    x = 58,044.15

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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.