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Finding the Third Proportional to 13,461.19 and 27,676.69

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Solution

The third proportional to 13,461.19 and 27,676.69 is: 56,904.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,461.19 : 27,676.69 = 27,676.69 : x
  2. Step 2: Convert to fraction form
    13,461.19/27,676.69 = 27,676.69/x
  3. Step 3: Cross multiply
    13,461.19x = 27,676.69 × 27,676.69
  4. Step 4: Simplify right side
    13,461.19x = 765,999,030.97
  5. Step 5: Solve for x
    x = 765,999,030.97/13,461.19
  6. Step 6: Final answer
    x = 56,904.27

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.