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Finding the Third Proportional to 6,919.80 and 14,847.68

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Solution

The third proportional to 6,919.80 and 14,847.68 is: 31,858.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,919.80 : 14,847.68 = 14,847.68 : x
  2. Step 2: Convert to fraction form
    6,919.80/14,847.68 = 14,847.68/x
  3. Step 3: Cross multiply
    6,919.80x = 14,847.68 × 14,847.68
  4. Step 4: Simplify right side
    6,919.80x = 220,453,592.10
  5. Step 5: Solve for x
    x = 220,453,592.10/6,919.80
  6. Step 6: Final answer
    x = 31,858.35

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.