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Finding the Third Proportional to 7,567 and 10,945

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Solution

The third proportional to 7,567 and 10,945 is: 15,830.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567 : 10,945 = 10,945 : x
  2. Step 2: Convert to fraction form
    7,567/10,945 = 10,945/x
  3. Step 3: Cross multiply
    7,567x = 10,945 × 10,945
  4. Step 4: Simplify right side
    7,567x = 119,793,025
  5. Step 5: Solve for x
    x = 119,793,025/7,567
  6. Step 6: Final answer
    x = 15,830.98

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.