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Finding the Third Proportional to 5,680 and 7,160

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Solution

The third proportional to 5,680 and 7,160 is: 9,025.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680 : 7,160 = 7,160 : x
  2. Step 2: Convert to fraction form
    5,680/7,160 = 7,160/x
  3. Step 3: Cross multiply
    5,680x = 7,160 × 7,160
  4. Step 4: Simplify right side
    5,680x = 51,265,600
  5. Step 5: Solve for x
    x = 51,265,600/5,680
  6. Step 6: Final answer
    x = 9,025.63

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.