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Finding the Third Proportional to 6,361.50 and 7,360.50

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Solution

The third proportional to 6,361.50 and 7,360.50 is: 8,516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.50 : 7,360.50 = 7,360.50 : x
  2. Step 2: Convert to fraction form
    6,361.50/7,360.50 = 7,360.50/x
  3. Step 3: Cross multiply
    6,361.50x = 7,360.50 × 7,360.50
  4. Step 4: Simplify right side
    6,361.50x = 54,176,960.25
  5. Step 5: Solve for x
    x = 54,176,960.25/6,361.50
  6. Step 6: Final answer
    x = 8,516.38

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.