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Finding the Third Proportional to 4,262.63 and 6,459.75

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Solution

The third proportional to 4,262.63 and 6,459.75 is: 9,789.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,262.63 : 6,459.75 = 6,459.75 : x
  2. Step 2: Convert to fraction form
    4,262.63/6,459.75 = 6,459.75/x
  3. Step 3: Cross multiply
    4,262.63x = 6,459.75 × 6,459.75
  4. Step 4: Simplify right side
    4,262.63x = 41,728,370.06
  5. Step 5: Solve for x
    x = 41,728,370.06/4,262.63
  6. Step 6: Final answer
    x = 9,789.36

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.