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Finding the Third Proportional to 6,390.80 and 13,670.06

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Solution

The third proportional to 6,390.80 and 13,670.06 is: 29,240.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,390.80 : 13,670.06 = 13,670.06 : x
  2. Step 2: Convert to fraction form
    6,390.80/13,670.06 = 13,670.06/x
  3. Step 3: Cross multiply
    6,390.80x = 13,670.06 × 13,670.06
  4. Step 4: Simplify right side
    6,390.80x = 186,870,608.75
  5. Step 5: Solve for x
    x = 186,870,608.75/6,390.80
  6. Step 6: Final answer
    x = 29,240.58

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.