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Finding the Third Proportional to 6,536 and 7,160

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Solution

The third proportional to 6,536 and 7,160 is: 7,843.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536 : 7,160 = 7,160 : x
  2. Step 2: Convert to fraction form
    6,536/7,160 = 7,160/x
  3. Step 3: Cross multiply
    6,536x = 7,160 × 7,160
  4. Step 4: Simplify right side
    6,536x = 51,265,600
  5. Step 5: Solve for x
    x = 51,265,600/6,536
  6. Step 6: Final answer
    x = 7,843.57

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.