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Finding the Third Proportional to 12,386.25 and 26,625.38

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Solution

The third proportional to 12,386.25 and 26,625.38 is: 57,233.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,386.25 : 26,625.38 = 26,625.38 : x
  2. Step 2: Convert to fraction form
    12,386.25/26,625.38 = 26,625.38/x
  3. Step 3: Cross multiply
    12,386.25x = 26,625.38 × 26,625.38
  4. Step 4: Simplify right side
    12,386.25x = 708,910,593.89
  5. Step 5: Solve for x
    x = 708,910,593.89/12,386.25
  6. Step 6: Final answer
    x = 57,233.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.