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Finding the Third Proportional to 7,096 and 15,641

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Solution

The third proportional to 7,096 and 15,641 is: 34,475.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096 : 15,641 = 15,641 : x
  2. Step 2: Convert to fraction form
    7,096/15,641 = 15,641/x
  3. Step 3: Cross multiply
    7,096x = 15,641 × 15,641
  4. Step 4: Simplify right side
    7,096x = 244,640,881
  5. Step 5: Solve for x
    x = 244,640,881/7,096
  6. Step 6: Final answer
    x = 34,475.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.