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Finding the Third Proportional to 6,576 and 7,232

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Solution

The third proportional to 6,576 and 7,232 is: 7,953.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576 : 7,232 = 7,232 : x
  2. Step 2: Convert to fraction form
    6,576/7,232 = 7,232/x
  3. Step 3: Cross multiply
    6,576x = 7,232 × 7,232
  4. Step 4: Simplify right side
    6,576x = 52,301,824
  5. Step 5: Solve for x
    x = 52,301,824/6,576
  6. Step 6: Final answer
    x = 7,953.44

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.