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Finding the Third Proportional to 11,594.81 and 24,829.31

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Solution

The third proportional to 11,594.81 and 24,829.31 is: 53,169.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.81 : 24,829.31 = 24,829.31 : x
  2. Step 2: Convert to fraction form
    11,594.81/24,829.31 = 24,829.31/x
  3. Step 3: Cross multiply
    11,594.81x = 24,829.31 × 24,829.31
  4. Step 4: Simplify right side
    11,594.81x = 616,494,759.22
  5. Step 5: Solve for x
    x = 616,494,759.22/11,594.81
  6. Step 6: Final answer
    x = 53,169.88

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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.