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Finding the Third Proportional to 3,106 and 5,576

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Solution

The third proportional to 3,106 and 5,576 is: 10,010.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106 : 5,576 = 5,576 : x
  2. Step 2: Convert to fraction form
    3,106/5,576 = 5,576/x
  3. Step 3: Cross multiply
    3,106x = 5,576 × 5,576
  4. Step 4: Simplify right side
    3,106x = 31,091,776
  5. Step 5: Solve for x
    x = 31,091,776/3,106
  6. Step 6: Final answer
    x = 10,010.23

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.