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Finding the Third Proportional to 3,713.06 and 4,949.44

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Solution

The third proportional to 3,713.06 and 4,949.44 is: 6,597.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.06 : 4,949.44 = 4,949.44 : x
  2. Step 2: Convert to fraction form
    3,713.06/4,949.44 = 4,949.44/x
  3. Step 3: Cross multiply
    3,713.06x = 4,949.44 × 4,949.44
  4. Step 4: Simplify right side
    3,713.06x = 24,496,931.57
  5. Step 5: Solve for x
    x = 24,496,931.57/3,713.06
  6. Step 6: Final answer
    x = 6,597.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.