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Finding the Third Proportional to 7,519.50 and 10,047.38

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Solution

The third proportional to 7,519.50 and 10,047.38 is: 13,425.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,519.50 : 10,047.38 = 10,047.38 : x
  2. Step 2: Convert to fraction form
    7,519.50/10,047.38 = 10,047.38/x
  3. Step 3: Cross multiply
    7,519.50x = 10,047.38 × 10,047.38
  4. Step 4: Simplify right side
    7,519.50x = 100,949,744.39
  5. Step 5: Solve for x
    x = 100,949,744.39/7,519.50
  6. Step 6: Final answer
    x = 13,425.06

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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.