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Finding the Third Proportional to 11,971.90 and 26,042.17

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Solution

The third proportional to 11,971.90 and 26,042.17 is: 56,648.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,971.90 : 26,042.17 = 26,042.17 : x
  2. Step 2: Convert to fraction form
    11,971.90/26,042.17 = 26,042.17/x
  3. Step 3: Cross multiply
    11,971.90x = 26,042.17 × 26,042.17
  4. Step 4: Simplify right side
    11,971.90x = 678,194,741.40
  5. Step 5: Solve for x
    x = 678,194,741.40/11,971.90
  6. Step 6: Final answer
    x = 56,648.87

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.