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Finding the Third Proportional to 7,319.53 and 16,276.78

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Solution

The third proportional to 7,319.53 and 16,276.78 is: 36,195.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,319.53 : 16,276.78 = 16,276.78 : x
  2. Step 2: Convert to fraction form
    7,319.53/16,276.78 = 16,276.78/x
  3. Step 3: Cross multiply
    7,319.53x = 16,276.78 × 16,276.78
  4. Step 4: Simplify right side
    7,319.53x = 264,933,607.86
  5. Step 5: Solve for x
    x = 264,933,607.86/7,319.53
  6. Step 6: Final answer
    x = 36,195.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.