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Finding the Third Proportional to 12,121.31 and 26,154.56

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Solution

The third proportional to 12,121.31 and 26,154.56 is: 56,434.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,121.31 : 26,154.56 = 26,154.56 : x
  2. Step 2: Convert to fraction form
    12,121.31/26,154.56 = 26,154.56/x
  3. Step 3: Cross multiply
    12,121.31x = 26,154.56 × 26,154.56
  4. Step 4: Simplify right side
    12,121.31x = 684,061,139.57
  5. Step 5: Solve for x
    x = 684,061,139.57/12,121.31
  6. Step 6: Final answer
    x = 56,434.58

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.