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Finding the Third Proportional to 7,170.50 and 10,544

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Solution

The third proportional to 7,170.50 and 10,544 is: 15,504.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170.50 : 10,544 = 10,544 : x
  2. Step 2: Convert to fraction form
    7,170.50/10,544 = 10,544/x
  3. Step 3: Cross multiply
    7,170.50x = 10,544 × 10,544
  4. Step 4: Simplify right side
    7,170.50x = 111,175,936
  5. Step 5: Solve for x
    x = 111,175,936/7,170.50
  6. Step 6: Final answer
    x = 15,504.63

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.