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Finding the Third Proportional to 11,500.26 and 23,423.40

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Solution

The third proportional to 11,500.26 and 23,423.40 is: 47,708.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,500.26 : 23,423.40 = 23,423.40 : x
  2. Step 2: Convert to fraction form
    11,500.26/23,423.40 = 23,423.40/x
  3. Step 3: Cross multiply
    11,500.26x = 23,423.40 × 23,423.40
  4. Step 4: Simplify right side
    11,500.26x = 548,655,502.86
  5. Step 5: Solve for x
    x = 548,655,502.86/11,500.26
  6. Step 6: Final answer
    x = 47,708.10

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.