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Finding the Third Proportional to 13,613.50 and 27,803

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Solution

The third proportional to 13,613.50 and 27,803 is: 56,782.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.50 : 27,803 = 27,803 : x
  2. Step 2: Convert to fraction form
    13,613.50/27,803 = 27,803/x
  3. Step 3: Cross multiply
    13,613.50x = 27,803 × 27,803
  4. Step 4: Simplify right side
    13,613.50x = 773,006,809
  5. Step 5: Solve for x
    x = 773,006,809/13,613.50
  6. Step 6: Final answer
    x = 56,782.37

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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.