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Finding the Third Proportional to 13,632 and 18,319.50

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Solution

The third proportional to 13,632 and 18,319.50 is: 24,618.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,632 : 18,319.50 = 18,319.50 : x
  2. Step 2: Convert to fraction form
    13,632/18,319.50 = 18,319.50/x
  3. Step 3: Cross multiply
    13,632x = 18,319.50 × 18,319.50
  4. Step 4: Simplify right side
    13,632x = 335,604,080.25
  5. Step 5: Solve for x
    x = 335,604,080.25/13,632
  6. Step 6: Final answer
    x = 24,618.84

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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.