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Finding the Third Proportional to 6,683.63 and 14,505.56

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Solution

The third proportional to 6,683.63 and 14,505.56 is: 31,481.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.63 : 14,505.56 = 14,505.56 : x
  2. Step 2: Convert to fraction form
    6,683.63/14,505.56 = 14,505.56/x
  3. Step 3: Cross multiply
    6,683.63x = 14,505.56 × 14,505.56
  4. Step 4: Simplify right side
    6,683.63x = 210,411,343.44
  5. Step 5: Solve for x
    x = 210,411,343.44/6,683.63
  6. Step 6: Final answer
    x = 31,481.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.