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Finding the Third Proportional to 6,543 and 7,155

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Solution

The third proportional to 6,543 and 7,155 is: 7,824.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543 : 7,155 = 7,155 : x
  2. Step 2: Convert to fraction form
    6,543/7,155 = 7,155/x
  3. Step 3: Cross multiply
    6,543x = 7,155 × 7,155
  4. Step 4: Simplify right side
    6,543x = 51,194,025
  5. Step 5: Solve for x
    x = 51,194,025/6,543
  6. Step 6: Final answer
    x = 7,824.24

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.