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Finding the Third Proportional to 6,394.50 and 13,548.38

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Solution

The third proportional to 6,394.50 and 13,548.38 is: 28,705.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.50 : 13,548.38 = 13,548.38 : x
  2. Step 2: Convert to fraction form
    6,394.50/13,548.38 = 13,548.38/x
  3. Step 3: Cross multiply
    6,394.50x = 13,548.38 × 13,548.38
  4. Step 4: Simplify right side
    6,394.50x = 183,558,465.14
  5. Step 5: Solve for x
    x = 183,558,465.14/6,394.50
  6. Step 6: Final answer
    x = 28,705.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.