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Finding the Third Proportional to 6,525 and 9,589.50

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Solution

The third proportional to 6,525 and 9,589.50 is: 14,093.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,525 : 9,589.50 = 9,589.50 : x
  2. Step 2: Convert to fraction form
    6,525/9,589.50 = 9,589.50/x
  3. Step 3: Cross multiply
    6,525x = 9,589.50 × 9,589.50
  4. Step 4: Simplify right side
    6,525x = 91,958,510.25
  5. Step 5: Solve for x
    x = 91,958,510.25/6,525
  6. Step 6: Final answer
    x = 14,093.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.