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Finding the Third Proportional to 6,445.50 and 14,245.50

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Solution

The third proportional to 6,445.50 and 14,245.50 is: 31,484.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.50 : 14,245.50 = 14,245.50 : x
  2. Step 2: Convert to fraction form
    6,445.50/14,245.50 = 14,245.50/x
  3. Step 3: Cross multiply
    6,445.50x = 14,245.50 × 14,245.50
  4. Step 4: Simplify right side
    6,445.50x = 202,934,270.25
  5. Step 5: Solve for x
    x = 202,934,270.25/6,445.50
  6. Step 6: Final answer
    x = 31,484.64

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.