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Finding the Third Proportional to 12,109.66 and 26,295.26

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Solution

The third proportional to 12,109.66 and 26,295.26 is: 57,098.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,109.66 : 26,295.26 = 26,295.26 : x
  2. Step 2: Convert to fraction form
    12,109.66/26,295.26 = 26,295.26/x
  3. Step 3: Cross multiply
    12,109.66x = 26,295.26 × 26,295.26
  4. Step 4: Simplify right side
    12,109.66x = 691,440,583.43
  5. Step 5: Solve for x
    x = 691,440,583.43/12,109.66
  6. Step 6: Final answer
    x = 57,098.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.