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Finding the Third Proportional to 13,722.75 and 17,884.13

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Solution

The third proportional to 13,722.75 and 17,884.13 is: 23,307.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.75 : 17,884.13 = 17,884.13 : x
  2. Step 2: Convert to fraction form
    13,722.75/17,884.13 = 17,884.13/x
  3. Step 3: Cross multiply
    13,722.75x = 17,884.13 × 17,884.13
  4. Step 4: Simplify right side
    13,722.75x = 319,841,927.02
  5. Step 5: Solve for x
    x = 319,841,927.02/13,722.75
  6. Step 6: Final answer
    x = 23,307.42

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.