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Finding the Third Proportional to 12,826.69 and 27,568.69

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Solution

The third proportional to 12,826.69 and 27,568.69 is: 59,254.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,826.69 : 27,568.69 = 27,568.69 : x
  2. Step 2: Convert to fraction form
    12,826.69/27,568.69 = 27,568.69/x
  3. Step 3: Cross multiply
    12,826.69x = 27,568.69 × 27,568.69
  4. Step 4: Simplify right side
    12,826.69x = 760,032,530.47
  5. Step 5: Solve for x
    x = 760,032,530.47/12,826.69
  6. Step 6: Final answer
    x = 59,254.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.