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Finding the Third Proportional to 13,623 and 18,307.13

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Solution

The third proportional to 13,623 and 18,307.13 is: 24,601.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,623 : 18,307.13 = 18,307.13 : x
  2. Step 2: Convert to fraction form
    13,623/18,307.13 = 18,307.13/x
  3. Step 3: Cross multiply
    13,623x = 18,307.13 × 18,307.13
  4. Step 4: Simplify right side
    13,623x = 335,150,825.77
  5. Step 5: Solve for x
    x = 335,150,825.77/13,623
  6. Step 6: Final answer
    x = 24,601.84

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.