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Finding the Third Proportional to 12,209.94 and 25,918.69

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Solution

The third proportional to 12,209.94 and 25,918.69 is: 55,018.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.94 : 25,918.69 = 25,918.69 : x
  2. Step 2: Convert to fraction form
    12,209.94/25,918.69 = 25,918.69/x
  3. Step 3: Cross multiply
    12,209.94x = 25,918.69 × 25,918.69
  4. Step 4: Simplify right side
    12,209.94x = 671,778,361.72
  5. Step 5: Solve for x
    x = 671,778,361.72/12,209.94
  6. Step 6: Final answer
    x = 55,018.98

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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.