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Finding the Third Proportional to 2,032 and 4,576

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Solution

The third proportional to 2,032 and 4,576 is: 10,305.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032 : 4,576 = 4,576 : x
  2. Step 2: Convert to fraction form
    2,032/4,576 = 4,576/x
  3. Step 3: Cross multiply
    2,032x = 4,576 × 4,576
  4. Step 4: Simplify right side
    2,032x = 20,939,776
  5. Step 5: Solve for x
    x = 20,939,776/2,032
  6. Step 6: Final answer
    x = 10,305.01

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.