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Finding the Third Proportional to 6,907.50 and 7,515

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Solution

The third proportional to 6,907.50 and 7,515 is: 8,175.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.50 : 7,515 = 7,515 : x
  2. Step 2: Convert to fraction form
    6,907.50/7,515 = 7,515/x
  3. Step 3: Cross multiply
    6,907.50x = 7,515 × 7,515
  4. Step 4: Simplify right side
    6,907.50x = 56,475,225
  5. Step 5: Solve for x
    x = 56,475,225/6,907.50
  6. Step 6: Final answer
    x = 8,175.93

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.