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Finding the Third Proportional to 5,576 and 6,272

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Solution

The third proportional to 5,576 and 6,272 is: 7,054.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,576 : 6,272 = 6,272 : x
  2. Step 2: Convert to fraction form
    5,576/6,272 = 6,272/x
  3. Step 3: Cross multiply
    5,576x = 6,272 × 6,272
  4. Step 4: Simplify right side
    5,576x = 39,337,984
  5. Step 5: Solve for x
    x = 39,337,984/5,576
  6. Step 6: Final answer
    x = 7,054.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.