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Finding the Third Proportional to 10,771.50 and 15,513.94

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Solution

The third proportional to 10,771.50 and 15,513.94 is: 22,344.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.50 : 15,513.94 = 15,513.94 : x
  2. Step 2: Convert to fraction form
    10,771.50/15,513.94 = 15,513.94/x
  3. Step 3: Cross multiply
    10,771.50x = 15,513.94 × 15,513.94
  4. Step 4: Simplify right side
    10,771.50x = 240,682,256.75
  5. Step 5: Solve for x
    x = 240,682,256.75/10,771.50
  6. Step 6: Final answer
    x = 22,344.36

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.