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Finding the Third Proportional to 2,072 and 4,160

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Solution

The third proportional to 2,072 and 4,160 is: 8,352.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072 : 4,160 = 4,160 : x
  2. Step 2: Convert to fraction form
    2,072/4,160 = 4,160/x
  3. Step 3: Cross multiply
    2,072x = 4,160 × 4,160
  4. Step 4: Simplify right side
    2,072x = 17,305,600
  5. Step 5: Solve for x
    x = 17,305,600/2,072
  6. Step 6: Final answer
    x = 8,352.12

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.