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Finding the Third Proportional to 2,729.48 and 4,314.07

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Solution

The third proportional to 2,729.48 and 4,314.07 is: 6,818.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.48 : 4,314.07 = 4,314.07 : x
  2. Step 2: Convert to fraction form
    2,729.48/4,314.07 = 4,314.07/x
  3. Step 3: Cross multiply
    2,729.48x = 4,314.07 × 4,314.07
  4. Step 4: Simplify right side
    2,729.48x = 18,611,163.16
  5. Step 5: Solve for x
    x = 18,611,163.16/2,729.48
  6. Step 6: Final answer
    x = 6,818.58

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.