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Finding the Third Proportional to 11,567.81 and 23,957.44

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Solution

The third proportional to 11,567.81 and 23,957.44 is: 49,616.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,567.81 : 23,957.44 = 23,957.44 : x
  2. Step 2: Convert to fraction form
    11,567.81/23,957.44 = 23,957.44/x
  3. Step 3: Cross multiply
    11,567.81x = 23,957.44 × 23,957.44
  4. Step 4: Simplify right side
    11,567.81x = 573,958,811.57
  5. Step 5: Solve for x
    x = 573,958,811.57/11,567.81
  6. Step 6: Final answer
    x = 49,616.88

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.