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Finding the Third Proportional to 5,132.25 and 6,495.75

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Solution

The third proportional to 5,132.25 and 6,495.75 is: 8,221.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,132.25 : 6,495.75 = 6,495.75 : x
  2. Step 2: Convert to fraction form
    5,132.25/6,495.75 = 6,495.75/x
  3. Step 3: Cross multiply
    5,132.25x = 6,495.75 × 6,495.75
  4. Step 4: Simplify right side
    5,132.25x = 42,194,768.06
  5. Step 5: Solve for x
    x = 42,194,768.06/5,132.25
  6. Step 6: Final answer
    x = 8,221.50

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.