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Finding the Third Proportional to 13,605 and 19,941.75

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Solution

The third proportional to 13,605 and 19,941.75 is: 29,229.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605 : 19,941.75 = 19,941.75 : x
  2. Step 2: Convert to fraction form
    13,605/19,941.75 = 19,941.75/x
  3. Step 3: Cross multiply
    13,605x = 19,941.75 × 19,941.75
  4. Step 4: Simplify right side
    13,605x = 397,673,393.06
  5. Step 5: Solve for x
    x = 397,673,393.06/13,605
  6. Step 6: Final answer
    x = 29,229.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.