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Finding the Third Proportional to 11,338.31 and 24,316.88

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Solution

The third proportional to 11,338.31 and 24,316.88 is: 52,151.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,338.31 : 24,316.88 = 24,316.88 : x
  2. Step 2: Convert to fraction form
    11,338.31/24,316.88 = 24,316.88/x
  3. Step 3: Cross multiply
    11,338.31x = 24,316.88 × 24,316.88
  4. Step 4: Simplify right side
    11,338.31x = 591,310,409.77
  5. Step 5: Solve for x
    x = 591,310,409.77/11,338.31
  6. Step 6: Final answer
    x = 52,151.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.