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Finding the Third Proportional to 11,146.50 and 24,342.75

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Solution

The third proportional to 11,146.50 and 24,342.75 is: 53,161.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,146.50 : 24,342.75 = 24,342.75 : x
  2. Step 2: Convert to fraction form
    11,146.50/24,342.75 = 24,342.75/x
  3. Step 3: Cross multiply
    11,146.50x = 24,342.75 × 24,342.75
  4. Step 4: Simplify right side
    11,146.50x = 592,569,477.56
  5. Step 5: Solve for x
    x = 592,569,477.56/11,146.50
  6. Step 6: Final answer
    x = 53,161.93

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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.