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Finding the Third Proportional to 11,588.70 and 24,817.64

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Solution

The third proportional to 11,588.70 and 24,817.64 is: 53,147.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.70 : 24,817.64 = 24,817.64 : x
  2. Step 2: Convert to fraction form
    11,588.70/24,817.64 = 24,817.64/x
  3. Step 3: Cross multiply
    11,588.70x = 24,817.64 × 24,817.64
  4. Step 4: Simplify right side
    11,588.70x = 615,915,286.19
  5. Step 5: Solve for x
    x = 615,915,286.19/11,588.70
  6. Step 6: Final answer
    x = 53,147.94

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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.