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Finding the Third Proportional to 4,160 and 5,921

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Solution

The third proportional to 4,160 and 5,921 is: 8,427.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160 : 5,921 = 5,921 : x
  2. Step 2: Convert to fraction form
    4,160/5,921 = 5,921/x
  3. Step 3: Cross multiply
    4,160x = 5,921 × 5,921
  4. Step 4: Simplify right side
    4,160x = 35,058,241
  5. Step 5: Solve for x
    x = 35,058,241/4,160
  6. Step 6: Final answer
    x = 8,427.46

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.