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Finding the Third Proportional to 7,069.50 and 9,531

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Solution

The third proportional to 7,069.50 and 9,531 is: 12,849.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,069.50 : 9,531 = 9,531 : x
  2. Step 2: Convert to fraction form
    7,069.50/9,531 = 9,531/x
  3. Step 3: Cross multiply
    7,069.50x = 9,531 × 9,531
  4. Step 4: Simplify right side
    7,069.50x = 90,839,961
  5. Step 5: Solve for x
    x = 90,839,961/7,069.50
  6. Step 6: Final answer
    x = 12,849.56

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.