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Finding the Third Proportional to 6,595 and 9,447.25

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Solution

The third proportional to 6,595 and 9,447.25 is: 13,533.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595 : 9,447.25 = 9,447.25 : x
  2. Step 2: Convert to fraction form
    6,595/9,447.25 = 9,447.25/x
  3. Step 3: Cross multiply
    6,595x = 9,447.25 × 9,447.25
  4. Step 4: Simplify right side
    6,595x = 89,250,532.56
  5. Step 5: Solve for x
    x = 89,250,532.56/6,595
  6. Step 6: Final answer
    x = 13,533.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.