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Finding the Third Proportional to 7,487.44 and 13,904.16

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Solution

The third proportional to 7,487.44 and 13,904.16 is: 25,819.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,487.44 : 13,904.16 = 13,904.16 : x
  2. Step 2: Convert to fraction form
    7,487.44/13,904.16 = 13,904.16/x
  3. Step 3: Cross multiply
    7,487.44x = 13,904.16 × 13,904.16
  4. Step 4: Simplify right side
    7,487.44x = 193,325,561.02
  5. Step 5: Solve for x
    x = 193,325,561.02/7,487.44
  6. Step 6: Final answer
    x = 25,819.99

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These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.