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Finding the Third Proportional to 7,094.25 and 15,639.75

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Solution

The third proportional to 7,094.25 and 15,639.75 is: 34,478.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.25 : 15,639.75 = 15,639.75 : x
  2. Step 2: Convert to fraction form
    7,094.25/15,639.75 = 15,639.75/x
  3. Step 3: Cross multiply
    7,094.25x = 15,639.75 × 15,639.75
  4. Step 4: Simplify right side
    7,094.25x = 244,601,780.06
  5. Step 5: Solve for x
    x = 244,601,780.06/7,094.25
  6. Step 6: Final answer
    x = 34,478.88

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.