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Finding the Third Proportional to 11,971.88 and 26,390.63

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Solution

The third proportional to 11,971.88 and 26,390.63 is: 58,175.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,971.88 : 26,390.63 = 26,390.63 : x
  2. Step 2: Convert to fraction form
    11,971.88/26,390.63 = 26,390.63/x
  3. Step 3: Cross multiply
    11,971.88x = 26,390.63 × 26,390.63
  4. Step 4: Simplify right side
    11,971.88x = 696,465,087.89
  5. Step 5: Solve for x
    x = 696,465,087.89/11,971.88
  6. Step 6: Final answer
    x = 58,175.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.