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Finding the Third Proportional to 6,543 and 9,495

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Solution

The third proportional to 6,543 and 9,495 is: 13,778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543 : 9,495 = 9,495 : x
  2. Step 2: Convert to fraction form
    6,543/9,495 = 9,495/x
  3. Step 3: Cross multiply
    6,543x = 9,495 × 9,495
  4. Step 4: Simplify right side
    6,543x = 90,155,025
  5. Step 5: Solve for x
    x = 90,155,025/6,543
  6. Step 6: Final answer
    x = 13,778.85

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.