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Finding the Third Proportional to 3,236.50 and 4,697.75

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Solution

The third proportional to 3,236.50 and 4,697.75 is: 6,818.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,236.50 : 4,697.75 = 4,697.75 : x
  2. Step 2: Convert to fraction form
    3,236.50/4,697.75 = 4,697.75/x
  3. Step 3: Cross multiply
    3,236.50x = 4,697.75 × 4,697.75
  4. Step 4: Simplify right side
    3,236.50x = 22,068,855.06
  5. Step 5: Solve for x
    x = 22,068,855.06/3,236.50
  6. Step 6: Final answer
    x = 6,818.74

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.