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Finding the Third Proportional to 4,231.14 and 6,580.93

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Solution

The third proportional to 4,231.14 and 6,580.93 is: 10,235.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,231.14 : 6,580.93 = 6,580.93 : x
  2. Step 2: Convert to fraction form
    4,231.14/6,580.93 = 6,580.93/x
  3. Step 3: Cross multiply
    4,231.14x = 6,580.93 × 6,580.93
  4. Step 4: Simplify right side
    4,231.14x = 43,308,686.97
  5. Step 5: Solve for x
    x = 43,308,686.97/4,231.14
  6. Step 6: Final answer
    x = 10,235.70

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.