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Finding the Third Proportional to 6,506.44 and 14,106.38

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Solution

The third proportional to 6,506.44 and 14,106.38 is: 30,583.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.44 : 14,106.38 = 14,106.38 : x
  2. Step 2: Convert to fraction form
    6,506.44/14,106.38 = 14,106.38/x
  3. Step 3: Cross multiply
    6,506.44x = 14,106.38 × 14,106.38
  4. Step 4: Simplify right side
    6,506.44x = 198,989,815.64
  5. Step 5: Solve for x
    x = 198,989,815.64/6,506.44
  6. Step 6: Final answer
    x = 30,583.53

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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.