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Finding the Third Proportional to 7,034 and 9,567

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Solution

The third proportional to 7,034 and 9,567 is: 13,012.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034 : 9,567 = 9,567 : x
  2. Step 2: Convert to fraction form
    7,034/9,567 = 9,567/x
  3. Step 3: Cross multiply
    7,034x = 9,567 × 9,567
  4. Step 4: Simplify right side
    7,034x = 91,527,489
  5. Step 5: Solve for x
    x = 91,527,489/7,034
  6. Step 6: Final answer
    x = 13,012.15

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.