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Finding the Third Proportional to 11,972.81 and 26,044.88

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Solution

The third proportional to 11,972.81 and 26,044.88 is: 56,656.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,972.81 : 26,044.88 = 26,044.88 : x
  2. Step 2: Convert to fraction form
    11,972.81/26,044.88 = 26,044.88/x
  3. Step 3: Cross multiply
    11,972.81x = 26,044.88 × 26,044.88
  4. Step 4: Simplify right side
    11,972.81x = 678,335,513.77
  5. Step 5: Solve for x
    x = 678,335,513.77/11,972.81
  6. Step 6: Final answer
    x = 56,656.32

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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.