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Finding the Third Proportional to 13,041 and 23,044.50

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Solution

The third proportional to 13,041 and 23,044.50 is: 40,721.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,041 : 23,044.50 = 23,044.50 : x
  2. Step 2: Convert to fraction form
    13,041/23,044.50 = 23,044.50/x
  3. Step 3: Cross multiply
    13,041x = 23,044.50 × 23,044.50
  4. Step 4: Simplify right side
    13,041x = 531,048,980.25
  5. Step 5: Solve for x
    x = 531,048,980.25/13,041
  6. Step 6: Final answer
    x = 40,721.49

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.