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Finding the Third Proportional to 7,567 and 8,287

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Solution

The third proportional to 7,567 and 8,287 is: 9,075.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567 : 8,287 = 8,287 : x
  2. Step 2: Convert to fraction form
    7,567/8,287 = 8,287/x
  3. Step 3: Cross multiply
    7,567x = 8,287 × 8,287
  4. Step 4: Simplify right side
    7,567x = 68,674,369
  5. Step 5: Solve for x
    x = 68,674,369/7,567
  6. Step 6: Final answer
    x = 9,075.51

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.