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Finding the Third Proportional to 6,784.96 and 14,950.35

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Solution

The third proportional to 6,784.96 and 14,950.35 is: 32,942.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.96 : 14,950.35 = 14,950.35 : x
  2. Step 2: Convert to fraction form
    6,784.96/14,950.35 = 14,950.35/x
  3. Step 3: Cross multiply
    6,784.96x = 14,950.35 × 14,950.35
  4. Step 4: Simplify right side
    6,784.96x = 223,513,070.24
  5. Step 5: Solve for x
    x = 223,513,070.24/6,784.96
  6. Step 6: Final answer
    x = 32,942.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.