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Finding the Third Proportional to 6,465 and 8,025

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Solution

The third proportional to 6,465 and 8,025 is: 9,961.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465 : 8,025 = 8,025 : x
  2. Step 2: Convert to fraction form
    6,465/8,025 = 8,025/x
  3. Step 3: Cross multiply
    6,465x = 8,025 × 8,025
  4. Step 4: Simplify right side
    6,465x = 64,400,625
  5. Step 5: Solve for x
    x = 64,400,625/6,465
  6. Step 6: Final answer
    x = 9,961.43

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Why These Related Problems?

These problems maintain the same ratio (1.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.