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Finding the Third Proportional to 4,277.81 and 6,388.03

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Solution

The third proportional to 4,277.81 and 6,388.03 is: 9,539.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277.81 : 6,388.03 = 6,388.03 : x
  2. Step 2: Convert to fraction form
    4,277.81/6,388.03 = 6,388.03/x
  3. Step 3: Cross multiply
    4,277.81x = 6,388.03 × 6,388.03
  4. Step 4: Simplify right side
    4,277.81x = 40,806,943.25
  5. Step 5: Solve for x
    x = 40,806,943.25/4,277.81
  6. Step 6: Final answer
    x = 9,539.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.