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Finding the Third Proportional to 13,044.16 and 27,775.09

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Solution

The third proportional to 13,044.16 and 27,775.09 is: 59,141.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,044.16 : 27,775.09 = 27,775.09 : x
  2. Step 2: Convert to fraction form
    13,044.16/27,775.09 = 27,775.09/x
  3. Step 3: Cross multiply
    13,044.16x = 27,775.09 × 27,775.09
  4. Step 4: Simplify right side
    13,044.16x = 771,455,615.83
  5. Step 5: Solve for x
    x = 771,455,615.83/13,044.16
  6. Step 6: Final answer
    x = 59,141.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.