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Finding the Third Proportional to 3,147.75 and 4,729.50

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Solution

The third proportional to 3,147.75 and 4,729.50 is: 7,106.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.75 : 4,729.50 = 4,729.50 : x
  2. Step 2: Convert to fraction form
    3,147.75/4,729.50 = 4,729.50/x
  3. Step 3: Cross multiply
    3,147.75x = 4,729.50 × 4,729.50
  4. Step 4: Simplify right side
    3,147.75x = 22,368,170.25
  5. Step 5: Solve for x
    x = 22,368,170.25/3,147.75
  6. Step 6: Final answer
    x = 7,106.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.