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Finding the Third Proportional to 6,343.50 and 12,355.50

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Solution

The third proportional to 6,343.50 and 12,355.50 is: 24,065.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.50 : 12,355.50 = 12,355.50 : x
  2. Step 2: Convert to fraction form
    6,343.50/12,355.50 = 12,355.50/x
  3. Step 3: Cross multiply
    6,343.50x = 12,355.50 × 12,355.50
  4. Step 4: Simplify right side
    6,343.50x = 152,658,380.25
  5. Step 5: Solve for x
    x = 152,658,380.25/6,343.50
  6. Step 6: Final answer
    x = 24,065.32

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.