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Finding the Third Proportional to 12,913.17 and 27,379.27

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Solution

The third proportional to 12,913.17 and 27,379.27 is: 58,051.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,913.17 : 27,379.27 = 27,379.27 : x
  2. Step 2: Convert to fraction form
    12,913.17/27,379.27 = 27,379.27/x
  3. Step 3: Cross multiply
    12,913.17x = 27,379.27 × 27,379.27
  4. Step 4: Simplify right side
    12,913.17x = 749,624,186.16
  5. Step 5: Solve for x
    x = 749,624,186.16/12,913.17
  6. Step 6: Final answer
    x = 58,051.13

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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.