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Finding the Third Proportional to 12,109.66 and 25,257.29

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Solution

The third proportional to 12,109.66 and 25,257.29 is: 52,679.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,109.66 : 25,257.29 = 25,257.29 : x
  2. Step 2: Convert to fraction form
    12,109.66/25,257.29 = 25,257.29/x
  3. Step 3: Cross multiply
    12,109.66x = 25,257.29 × 25,257.29
  4. Step 4: Simplify right side
    12,109.66x = 637,930,552.13
  5. Step 5: Solve for x
    x = 637,930,552.13/12,109.66
  6. Step 6: Final answer
    x = 52,679.48

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.