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Finding the Third Proportional to 6,454.69 and 13,678.03

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Solution

The third proportional to 6,454.69 and 13,678.03 is: 28,984.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.69 : 13,678.03 = 13,678.03 : x
  2. Step 2: Convert to fraction form
    6,454.69/13,678.03 = 13,678.03/x
  3. Step 3: Cross multiply
    6,454.69x = 13,678.03 × 13,678.03
  4. Step 4: Simplify right side
    6,454.69x = 187,088,538.88
  5. Step 5: Solve for x
    x = 187,088,538.88/6,454.69
  6. Step 6: Final answer
    x = 28,984.91

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