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Finding the Third Proportional to 5,772 and 10,437

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Solution

The third proportional to 5,772 and 10,437 is: 18,872.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772 : 10,437 = 10,437 : x
  2. Step 2: Convert to fraction form
    5,772/10,437 = 10,437/x
  3. Step 3: Cross multiply
    5,772x = 10,437 × 10,437
  4. Step 4: Simplify right side
    5,772x = 108,930,969
  5. Step 5: Solve for x
    x = 108,930,969/5,772
  6. Step 6: Final answer
    x = 18,872.31

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.