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Finding the Third Proportional to 3,050.37 and 6,684.40

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Solution

The third proportional to 3,050.37 and 6,684.40 is: 14,647.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,050.37 : 6,684.40 = 6,684.40 : x
  2. Step 2: Convert to fraction form
    3,050.37/6,684.40 = 6,684.40/x
  3. Step 3: Cross multiply
    3,050.37x = 6,684.40 × 6,684.40
  4. Step 4: Simplify right side
    3,050.37x = 44,681,182.47
  5. Step 5: Solve for x
    x = 44,681,182.47/3,050.37
  6. Step 6: Final answer
    x = 14,647.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.